CP Projectile Test Answers

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CP Projectile Test Answers

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Title: CP Projectile Test Answers

1
CP Projectile Test Answers

1. Which of the following best represents a graph
of horizontal position as a function of time for
balls launched horizontally in the positive x
direction?

x
t
Constant forward velocity
2
CP Projectile Test Answers

1. Which of the following best represents a graph
of horizontal position as a function of time for
balls launched horizontally in the positive x
direction?

x
t
Constant forward velocity
3
CP Projectile Test Answers

1. Which of the following best represents a graph
of horizontal position as a function of time for
balls launched horizontally in the positive x
direction?

x
t
Constant forward velocity
4
CP Projectile Test Answers

Which of the following best represents a graph of
vertical position as a function of time for balls
launched horizontally?

y
t
Increasing downward velocity
5
CP Projectile Test Answers

Which of the following best represents a graph of
vertical position as a function of time for balls
launched horizontally?

y
t
Increasing downward velocity
6
CP Projectile Test Answers

Which of the following best represents a graph of
vertical position as a function of time for balls
launched horizontally?

y
t
Increasing downward velocity
7
CP Projectile Test Answers

3. Which of the following graphs best
represents the horizontal velocities vs time for
balls launched horizontally?

0 m/s
Time
Constant Forward Velocity
8
CP Projectile Test Answers

3. Which of the following graphs best
represents the horizontal velocities vs time for
balls launched horizontally?

0 m/s
Time
Constant Forward Velocity
9
CP Projectile Test Answers

3. Which of the following graphs best
represents the horizontal velocities vs time for
balls launched horizontally?

0 m/s
Time
Constant Forward Velocity
10
CP Projectile Test Answers

4. Which of the following graphs best
represents the vertical velocities vs time for
balls launched horizontally?

0 m/s
Time
Increasing downward velocity
11
CP Projectile Test Answers

4. Which of the following graphs best
represents the vertical velocities vs time for
balls launched horizontally?

0 m/s
Time
Increasing downward velocity
12
CP Projectile Test Answers

4. Which of the following graphs best
represents the vertical velocities vs time for
balls launched horizontally?

0 m/s
Time
Increasing downward velocity
13
CP Projectile Test Answers

5. Which of the following graphs best
represents the horizontal acceleration vs time
for balls launched horizontally?

0 m/s2
Time
Constant forward Velocity
14
CP Projectile Test Answers

5. Which of the following graphs best
represents the horizontal acceleration vs time
for balls launched horizontally?

0 m/s2
Time
Constant forward Velocity
15
CP Projectile Test Answers

5. Which of the following graphs best
represents the horizontal acceleration vs time
for balls launched horizontally?

0 m/s2
Time
Constant forward Velocity
16
CP Projectile Test Answers

6. Which of the following graphs best
represents the vertical acceleration vs time for
balls launched horizontally?

0 m/s2
Time
Constant downward acceleration equal to 9.8 m/s2
17
CP Projectile Test Answers

6. Which of the following graphs best
represents the vertical acceleration vs time for
balls launched horizontally?

0 m/s2
Time
Constant downward acceleration equal to 9.8 m/s2
18
CP Projectile Test Answers

6. Which of the following graphs best
represents the vertical acceleration vs time for
balls launched horizontally?

0 m/s2
Time
Constant downward acceleration equal to 9.8 m/s2
19
CP Projectile Test Answers

7. An Olympic athlete throws a javelin at five
different angles above the horizontal, each with
the same speed 20o 30 o 50 o 600 70 o Which
two throws cause the javelin to land the same
distance away?
a) 20 o and 70 o
b) 30 o and 60 o
c) 20 o and 50 o
d) 50 o and 70 o
8. Why? Projectiles fired at
complementary angles produce the same horizontal
range check
projectile lab 2 results.

20
CP Projectile Test Answers

7. An Olympic athlete throws a javelin at five
different angles above the horizontal, each with
the same speed 20o 30 o 50 o 600 70 o Which
two throws cause the javelin to land the same
distance away?
a) 20 o and 70 o
b) 30 o and 60 o
c) 20 o and 50 o
d) 50 o and 70 o
8. Why? Projectiles fired at
complementary angles produce the same horizontal
range check
projectile lab 2 results.

21
CP Projectile Test Answers

7. An Olympic athlete throws a javelin at five
different angles above the horizontal, each with
the same speed 20o 30 o 50 o 600 70 o Which
two throws cause the javelin to land the same
distance away?
a) 20 o and 70 o
b) 30 o and 60 o
c) 20 o and 50 o
d) 50 o and 70 o
8. Why? Projectiles fired at
complementary angles produce the same horizontal
range check
projectile lab 2 results.

22
CP Projectile Test Answers

9. A projectile is fired at 30 degrees above
the horizon. Which statement is true of the
y component of its velocity
a) it is greater than the x component of its
velocity
b) it is less than the x component of its
velocity
c) it is equal to the x component of its
velocity
d) its y component of its velocity is -9.8 m/s2
10. Why Any launch angle less than 45o
produces greater initial horizontal launch
velocities.
Any launch angle greater than 45o produces
greater vertical launch velocities.

23
CP Projectile Test Answers

9. A projectile is fired at 30 degrees above
the horizon. Which statement is true of the
y component of its velocity
a) it is greater than the x component of its
velocity
b) it is less than the x component of its
velocity
c) it is equal to the x component of its
velocity
d) its y component of its velocity is -9.8 m/s2
10. Why Any launch angle less than 45o
produces greater initial horizontal launch
velocities.
Any launch angle greater than 45o produces
greater vertical launch velocities.

24
CP Projectile Test Answers

9. A projectile is fired at 30 degrees above
the horizon. Which statement is true of the
y component of its velocity
a) it is greater than the x component of its
velocity
b) it is less than the x component of its
velocity
c) it is equal to the x component of its
velocity
d) its y component of its velocity is -9.8 m/s2
10. Why Any launch angle less than 45o
produces greater initial horizontal launch
velocities.
Any launch angle greater than 45o produces
greater vertical launch velocities.

25
CP Projectile Test Answers

11. Which of the following will have the
greatest time of flight when fired from the
ground to the ground?
a) A projectile fired at 100 m/s at 25o degrees
b) A projectile fired at 100 m/s at 35o degrees
c) A projectile fired at 100 m/s at 45o degrees
d) A projectile fired at 100 m/s at 55o degrees
12. Why? The higher the launch angle the longer
the time of flight.The higher the launch angle
the longer it takes the projectile to achieve
zero vertical velocity at the projectiles maximum
height

26
CP Projectile Test Answers

11. Which of the following will have the
greatest time of flight when fired from the
ground to the ground?
a) A projectile fired at 100 m/s at 25o degrees
b) A projectile fired at 100 m/s at 35o degrees
c) A projectile fired at 100 m/s at 45o degrees
d) A projectile fired at 100 m/s at 55o degrees
12. Why? The higher the launch angle the longer
the time of flight.The higher the launch angle
the longer it takes the projectile to achieve
zero vertical velocity at the projectiles maximum
height

27
CP Projectile Test Answers

13. Which of the following will travel the
greatest horizontal distance when fired from the
ground to the ground?
a) A projectile fired at 100 m/s at 10o degrees
b) A projectile fired at 100 m/s at 20o degrees
c) A projectile fired at 100 m/s at 50o degrees
d) A projectile fired at 100 m/s at 70o degrees
e) A projectile fired at 100 m/s at 80o degrees
14. Why? A 45 degree launch angle results in the
greatest horizontal distance. A 500 launch angle
is the closest to 450 of the choices listed.

28
CP Projectile Test Answers

13. Which of the following will travel the
greatest horizontal distance when fired from the
ground to the ground?
a) A projectile fired at 100 m/s at 10o degrees
b) A projectile fired at 100 m/s at 20o degrees
c) A projectile fired at 100 m/s at 50o degrees
d) A projectile fired at 100 m/s at 70o degrees
e) A projectile fired at 100 m/s at 80o degrees
14. Why? A 45 degree launch angle results in the
greatest horizontal distance. A 500 launch angle
is the closest to 450 of the choices listed.

29
CP Projectile Test Answers

13. Which of the following will travel the
greatest horizontal distance when fired from the
ground to the ground?
a) A projectile fired at 100 m/s at 10o degrees
b) A projectile fired at 100 m/s at 20o degrees
c) A projectile fired at 100 m/s at 50o degrees
d) A projectile fired at 100 m/s at 70o degrees
e) A projectile fired at 100 m/s at 80o degrees
14. Why? A 45 degree launch angle results in the
greatest horizontal distance. A 500 launch angle
is the closest to 450 of the choices listed.

30
CP Projectile Test Answers

15. A projectile is fired at 45 degrees above
the horizon. Which statement is true of the y
component of its acceleration
the y component of its acceleration at its
maximum height is 0 m/s2
b) the y component of its acceleration
initially is 9.8 m/s2 sin 450
the y component of its acceleration initially
is -9.8 m/s2 sin 450
d) the y component of its acceleration at
its maximum height is -9.8 m/s2
16. Why? The y component of the acceleration
due to gravity is a constant -9.8m/s2 regardless
of the y position of the projectile. It is
-9.8m/s2 on a projectiles way up, at itsmaximum
height and on its way down.

31
CP Projectile Test Answers

15. A projectile is fired at 45 degrees above
the horizon. Which statement is true of the y
component of its acceleration
the y component of its acceleration at its
maximum height is 0 m/s2
b) the y component of its acceleration
initially is 9.8 m/s2 sin 450
the y component of its acceleration initially
is -9.8 m/s2 sin 450
d) the y component of its acceleration at
its maximum height is -9.8 m/s2
16. Why? The y component of the acceleration
due to gravity is a constant -9.8m/s2 regardless
of the y position of the projectile. It is
-9.8m/s2 on a projectiles way up, at itsmaximum
height and on its way down.

32
CP Projectile Test Answers

15. A projectile is fired at 45 degrees above
the horizon. Which statement is true of the y
component of its acceleration
the y component of its acceleration at its
maximum height is 0 m/s2
b) the y component of its acceleration
initially is 9.8 m/s2 sin 450
the y component of its acceleration initially
is -9.8 m/s2 sin 450
d) the y component of its acceleration at
its maximum height is -9.8 m/s2
16. Why? The y component of the acceleration
due to gravity is a constant -9.8m/s2 regardless
of the y position of the projectile. It is
-9.8m/s2 on a projectiles way up, at itsmaximum
height and on its way down.

33
CP Projectile Test Answers

17 . You are throwing a ball for the second
time. If the ball leaves your hand with twice
the velocity
it had on your first throw, its time of
flight will be
1.4 times as much.
half as much.
twice as much. vfyviy gt tvfy-viy
t related to vi
g
d) Four times as much
e. the same

34
CP Projectile Test Answers

17 . You are throwing a ball for the second
time. If the ball leaves your hand with twice
the velocity
it had on your first throw, its time of
flight will be
1.4 times as much.
half as much.
twice as much. vfyviy gt tvfy-viy
t related to vi
g
d) Four times as much
e. the same

35
CP Projectile Test Answers

17 . You are throwing a ball for the second
time. If the ball leaves your hand with twice
the velocity
it had on your first throw, its time of
flight will be
1.4 times as much.
half as much.
twice as much. vfyviy gt tvfy-viy
t related to vi
g
d) Four times as much
e. the same

36
CP Projectile Test Answers

17 . You are throwing a ball for the second
time. If the ball leaves your hand with twice
the velocity
it had on your first throw, its time of
flight will be
1.4 times as much.
half as much.
twice as much. vfyviy gt tvfy-viy
t related to vi
g
d) Four times as much
e. the same

37
CP Projectile Test Answers

17 . You are throwing a ball for the second
time. If the ball leaves your hand with twice
the velocity
it had on your first throw, its time of
flight will be
1.4 times as much.
half as much.
twice as much. vfyviy gt tvfy-viy
t related to vi
g
d) Four times as much
e. the same

38
CP Projectile Test Answers

18. You are throwing a ball for the second
time. If the ball leaves your hand with twice
the velocity it had on your first throw, the
maximum height it will achieve is
a. 1.4 times as much.
b. half as much.
c. twice as much.
d. four times as much The ball will be in the
air for twice as long and it will travel twice as
fast initially. twice the time at twice the
speed.
e. the same

39
CP Projectile Test Answers

18. You are throwing a ball for the second
time. If the ball leaves your hand with twice
the velocity it had on your first throw, the
maximum height it will achieve is
a. 1.4 times as much.
b. half as much.
c. twice as much.
d. four times as much The ball will be in the
air for twice as long and it will travel twice as
fast initially. twice the time at twice the
speed.
e. the same

40
CP Projectile Test Answers

19. You are throwing a ball for the second time.
If the ball leaves your hand with twice the
velocity
it had on your first throw, the vertical velocity
at the maximum height will be
a. 1.4 times as much.
b. half as much.
c. twice as much.
d. four times as much
e. the same All projectiles at their maximum
height will have a vertical velocity of 0 m/s

41
CP Projectile Test Answers

19. You are throwing a ball for the second time.
If the ball leaves your hand with twice the
velocity
it had on your first throw, the vertical velocity
at the maximum height will be
a. 1.4 times as much.
b. half as much.
c. twice as much.
d. four times as much
e. the same All projectiles at their maximum
height will have a vertical velocity of 0 m/s

42
CP Projectile Test Answers

19. You are throwing a ball for the second time.
If the ball leaves your hand with twice the
velocity
it had on your first throw, the vertical velocity
at the maximum height will be
a. 1.4 times as much.
b. half as much.
c. twice as much.
d. four times as much
e. the same All projectiles at their maximum
height will have a vertical velocity of 0 m/s

43
CP Projectile Test Answers

20. Projectiles that are fired down at 10
degrees below the horizon will have
a higher y velocity when they hit the ground when
compared to projectile fired up at 10 degrees
above the horizon at the same speed
a lower y velocity when they hit the ground when
compared to a projectile fired up at 10 degrees
above the horizon at the same speed
c) the same y velocity when they hit the
ground when compared to a projectile fired up at
10 degrees above the horizon at the same speed.
d) have a velocity that could be higher or
lower when compared to a projectile fired up at
10 degrees above the horizon depending on the
whether the initial velocities are above 10 m/s
or below 10 m/s.

44
CP Projectile Test Answers

20. Projectiles that are fired down at 10
degrees below the horizon will have
a higher y velocity when they hit the ground when
compared to projectile fired up at 10 degrees
above the horizon at the same speed
a lower y velocity when they hit the ground when
compared to a projectile fired up at 10 degrees
above the horizon at the same speed
c) the same y velocity when they hit the
ground when compared to a projectile fired up at
10 degrees above the horizon at the same speed.
d) have a velocity that could be higher or
lower when compared to a projectile fired up at
10 degrees above the horizon depending on the
whether the initial velocities are above 10 m/s
or below 10 m/s.

45
CP Projectile Test Answers

The projectile fired up at 10 m/s 10o above the
horizon will eventually become a 10 m/s
projectile fired down

Fired up becomes Fired down.
Fired down
46
CP Projectile Test Answers

The projectile fired up at 10 m/s 10o above the
horizon will eventually become a 10 m/s
projectile fired down

Fired up becomes Fired down.
Fired down
47
CP Projectile Test Answers

The projectile fired up at 10 m/s 10o above the
horizon will eventually become a 10 m/s
projectile fired down

Fired up becomes Fired down.
Fired down
48
Projectile Test-time of flight for yi1.20m and
yf0m a) What is the time of flight of the
dropped ball?

Given Find FRS
g - 9.8 m/s2 t?s yf yi
viyt ½ gt2
viy0m/s yf yi ½ gt2
yi1.20 m yf - yi ½ gt2
yf0m yf - yi t2
½ g
yf - yi t 0m-1.20m
½ g ½
(-9.8m/s2)
t .49s

49
Projectile Test-time of flight for yi1.20m and
yf0m a) What is the time of flight of the
dropped ball?

Given Find FRS
g - 9.8 m/s2 t?s yf yi
viyt ½ gt2
viy0m/s yf yi ½ gt2
yi1.20 m yf - yi ½ gt2
yf0m yf - yi t2
½ g
yf - yi t 0m-1.20m
½ g ½
(-9.8m/s2)
t .49s

50
Projectile Test-time of flight for yi1.20m and
yf0m a) What is the time of flight of the
dropped ball?

Given Find FRS
g - 9.8 m/s2 t?s yf yi
viyt ½ gt2
viy0m/s yf yi ½ gt2
yi1.20 m yf - yi ½ gt2
yf0m yf - yi t2
½ g
yf - yi t 0m-1.20m
½ g ½
(-9.8m/s2)
t .49s

51
Projectile Test-time of flight for yi1.20m and
yf0m a) What is the time of flight of the
dropped ball?

Given Find FRS
g - 9.8 m/s2 t?s yf yi
viyt ½ gt2
viy0m/s yf yi ½ gt2
yi1.20 m yf - yi ½ gt2
yf0m yf - yi t2
½ g
yf - yi t 0m-1.20m
½ g ½
(-9.8m/s2)
t .49s

52
Projectile Test-time of flight for yi1.20m and
yf0m a) What is the time of flight of the
dropped ball?

Given Find FRS
g - 9.8 m/s2 t?s yf yi
viyt ½ gt2
viy0m/s yf yi ½ gt2
yi1.20 m yf - yi ½ gt2
yf0m yf - yi t2
½ g
yf - yi t 0m-1.20m
½ g ½
(-9.8m/s2)
t .49s

53
Projectile Test-time of flight for yi1.20m and
yf0m a) What is the time of flight of the
dropped ball?

Given Find FRS
g - 9.8 m/s2 t?s yf yi
viyt ½ gt2
viy0m/s yf yi ½ gt2
yi1.20 m yf - yi ½ gt2
yf0m yf - yi t2
½ g
yf - yi t 0m-1.20m
½ g ½
(-9.8m/s2)
t .49s

54
Projectile Test-time of flight for yi1.20m and
yf0m a) What is the time of flight of the
dropped ball?

Given Find FRS
g - 9.8 m/s2 t?s yf yi
viyt ½ gt2
viy0m/s yf yi ½ gt2
yi1.20 m yf - yi ½ gt2
yf0m yf - yi t2
½ g
yf - yi t 0m-1.20m
½ g ½
(-9.8m/s2)
t .49s

55
Projectile Test-time of flight for yi1.20m and
yf0m a) What is the time of flight of the
dropped ball?

Given Find FRS
g - 9.8 m/s2 t?s yf yi
viyt ½ gt2
viy0m/s yf yi ½ gt2
yi1.20 m yf - yi ½ gt2
yf0m yf - yi t2
½ g
yf - yi t 0m-1.20m
½ g ½
(-9.8m/s2)
t .49s

56
Projectile Test-time of flight for yi1.20m and
yf0m a) What is the time of flight of the
dropped ball?

Given Find FRS
g - 9.8 m/s2 t?s yf yi
viyt ½ gt2
viy0m/s yf yi ½ gt2
yi1.20 m yf - yi ½ gt2
yf0m yf - yi t2
½ g
yf - yi t 0m-1.20m
½ g ½
(-9.8m/s2)
t .49s

57
Projectile Test-time of flight for yi1.20m and
yf0m a) What is the time of flight of the
dropped ball?

Given Find FRS
g - 9.8 m/s2 t?s yf yi
viyt ½ gt2
viy0m/s yf yi ½ gt2
yi1.20 m yf - yi ½ gt2
yf0m yf - yi t2
½ g
yf - yi t 0m-1.20m
½ g ½
(-9.8m/s2)
t .49s

58
Projectile Test-time of flight for yi1.20m and
yf0m a) What is the time of flight of the
dropped ball?

Given Find FRS
g - 9.8 m/s2 t?s yf yi
viyt ½ gt2
viy0m/s yf yi ½ gt2
yi1.20 m yf - yi ½ gt2
yf0m yf - yi t2
½ g
yf - yi t 0m-1.20m
½ g ½
(-9.8m/s2)
t .49s

59
Projectile Test-a) What is the time of flight of
the dropped ball?

Given Find FRS
g - 9.8 m/s2 t?s yf yi
viyt ½ gt2
viy0m/s yf yi ½ gt2
yi1.20 m yf - yi ½ gt2
yf0m yf - yi t2
½ g
yf - yi t 0m-1.20m
½ g ½
(-9.8m/s2)
a)
t .49s

60
Projectile Test-time of flight for yi1.20m and
yf0m

b) What is the time of flight for the ball fired
at 10 m/s horizontally?
The time of flight for the horizonatally
fired ball is also 0.49s. The time of flight is
independent of the horizontal velocity.

61
Projectile Test-time of flight for yi1.20m and
yf0m

b) What is the time of flight for the ball fired
at 10 m/s horizontally?
The time of flight for the horizonatally
fired ball is also 0.49s. The time of flight is
independent of the horizontal velocity.

62
Projectile Test-time of flight for yi1.20m and
yf0m

b) What is the time of flight for the ball fired
at 10 m/s horizontally?
The time of flight for the horizonatally
fired ball is also 0.49s. The time of flight is
independent of the horizontal velocity.

63
Projectile Test-time of flight for yi1.20m and
yf0m

c) What is the horizontal distance of the ball
fired at 10m/s?
c) vixvx Dx t vx Dx .49 s (10
m/s) 4.9 m
t

64
Projectile Test-time of flight for yi1.20m and
yf0m

c) What is the horizontal distance of the ball
fired at 10m/s?
c) vixvx Dx t vx Dx .49 s (10
m/s) 4.9 m
t

65
Projectile Test-time of flight for yi1.20m and
yf0m

c) What is the horizontal distance of the ball
fired at 10m/s?
c) vixvx Dx t vx Dx .49 s (10
m/s) 4.9 m
t

66
Projectile Test-time of flight for yi1.20m and
yf0m

c) What is the horizontal distance of the ball
fired at 10m/s?
c) vixvx Dx t vx Dx .49 s (10
m/s) 4.9 m
t

67
Projectile Test-time of flight for yi1.20m and
yf0m

c) What is the horizontal distance of the ball
fired at 10m/s?
c) vixvx Dx t vx Dx .49 s (10
m/s) 4.9 m
t

68
Projectile Test-time of flight for yi1.20m and
yf0m

d) What is the horizontal and vertical positions
of the ball fired 10 m/s horizontally .25 seconds
into its flight?
vixvx Dx t vx Dx .25 s (10 m/s)
2.5 m
t
yf yi viyt ½ gt2 yf 1.20
m 0 m/s (.25s) ½ (-9.8m/s2)(.25s)2 .31 m

69
Projectile Test-time of flight for yi1.20m and
yf0m

d) What is the horizontal and vertical positions
of the ball fired 10 m/s horizontally .25 seconds
into its flight?
vixvx Dx t vx Dx .25 s (10 m/s)
2.5 m
t
yf yi viyt ½ gt2 yf 1.20
m 0 m/s (.25s) ½ (-9.8m/s2)(.25s)2 .31 m

70
Projectile Test-time of flight for yi1.20m and
yf0m

d) What is the horizontal and vertical positions
of the ball fired 10 m/s horizontally .25 seconds
into its flight?
vixvx Dx t vx Dx .25 s (10 m/s)
2.5 m
t
yf yi viyt ½ gt2 yf 1.20
m 0 m/s (.25s) ½ (-9.8m/s2)(.25s)2 .31 m

71
Projectile Test-time of flight for yi1.20m and
yf0m

d) What is the horizontal and vertical positions
of the ball fired 10 m/s horizontally .25 seconds
into its flight?
vixvx Dx t vx Dx .25 s (10 m/s)
2.5 m
t
yf yi viyt ½ gt2 yf 1.20
m 0 m/s (.25s) ½ (-9.8m/s2)(.25s)2 .31 m

72
Projectile Test-time of flight for yi1.20m and
yf0m

d) What is the horizontal and vertical positions
of the ball fired 10 m/s horizontally .25 seconds
into its flight?
vixvx Dx t vx Dx .25 s (10 m/s)
2.5 m
t
yf yi viyt ½ gt2 yf 1.20
m 0 m/s (.25s) ½ (-9.8m/s2)(.25s)2 .31 m

73
Projectile Test-time of flight for yi1.20m and
yf0m

d) What is the horizontal and vertical positions
of the ball fired 10 m/s horizontally .25 seconds
into its flight?
vixvx Dx t vx Dx .25 s (10 m/s)
2.5 m
t
yf yi viyt ½ gt2
yf 1.20 m 0 m/s (.25s) ½
(-9.8m/s2)(.25s)2 .31 m

74
Projectile Test-time of flight for yi1.20m and
yf0m

d) What is the horizontal and vertical positions
of the ball fired 10 m/s horizontally .25 seconds
into its flight?
vixvx Dx t vx Dx .25 s (10 m/s)
2.5 m
t
yf yi viyt ½ gt2
yf 1.20 m 0 m/s (.25s) ½
(-9.8m/s2)(.25s)2 .31 m

75
Projectile Test-time of flight for yi1.20m and
yf0m

d) What is the horizontal and vertical positions
of the ball fired 10 m/s horizontally .25 seconds
into its flight?
vixvx Dx t vx Dx .25 s (10 m/s)
2.5 m
t
yf yi viyt ½ gt2
yf 1.20 m 0 m/s (.25s) ½
(-9.8m/s2)(.25s)2 .31 m

76
Projectile Test-time of flight for yi1.20m and
yf0m

d) What is the horizontal and vertical positions
of the ball fired 10 m/s horizontally .25 seconds
into its flight?
vixvx Dx t vx Dx .25 s (10 m/s)
2.5 m
t
yf yi viyt ½ gt2
yf 1.20 m 0 m/s (.25s) ½
(-9.8m/s2)(.25s)2 .31 m

77
Projectile Test Answers

Givens
yo .25 m
y.98m
vo 10.0 m/s f 650
g - 9.8 m/s2
vfy0m/s
a) vox vocos f 10.0 m/s cos 65o 4.23 m/s
b) voy vosin f 10.0 m/s sin 65o 9.06 m/s

78
Projectile Test Answers

Givens
yo .25 m
y.98m
vo 10.0 m/s f 650
g - 9.8 m/s2
vfy0m/s
a) vox vocos f 10.0 m/s cos 65o 4.23 m/s
b) voy vosin f 10.0 m/s sin 65o 9.06 m/s

79
Projectile Test Answers

Givens
yo .25 m
y.98m
vo 10.0 m/s f 650
g - 9.8 m/s2
vfy0m/s
a) vox vocos f 10.0 m/s cos 65o 4.23 m/s
b) voy vosin f 10.0 m/s sin 65o 9.06 m/s

80
Projectile Test Answers

Givens
yo .25 m
y.98m
vo 10.0 m/s f 650
g - 9.8 m/s2
vfy0m/s
a) vox vocos f 10.0 m/s cos 65o 4.23 m/s
b) voy vosin f 10.0 m/s sin 65o 9.06 m/s

81
Projectile Test Answers

Givens
yo .25 m
y.98m
vo 10.0 m/s f 650
g - 9.8 m/s2
vfy0m/s
a) vox vocos f 10.0 m/s cos 65o 4.23 m/s
b) voy vosin f 10.0 m/s sin 65o 9.06 m/s

82
Projectile Test Answers

Givens
yo .25 m
y.98m
vo 10.0 m/s f 650
g - 9.8 m/s2
vfy0m/s
a) vox vocos f 10.0 m/s cos 65o 4.23 m/s
b) voy vosin f 10.0 m/s sin 65o 9.06 m/s

83
Projectile Test Answers

Givens
yo .25 m
y.98m
vo 10.0 m/s f 650
g - 9.8 m/s2
vfy0m/s
a) vox vocos f 10.0 m/s cos 65o 4.23 m/s
b) voy vosin f 10.0 m/s sin 65o 9.06 m/s

84
Projectile Test Answers

Givens
yo .25 m
y.98m
vo 10.0 m/s f 650
g - 9.8 m/s2
vfy0m/s
a) vox vocos f 10.0 m/s cos 65o 4.23 m/s
b) voy vosin f 10.0 m/s sin 65o 9.06 m/s

85
Projectile Test Answers

Givens
yo .25 m
y.98m
vo 10.0 m/s f 650
g - 9.8 m/s2
vfy0m/s
a) vox vocos f 10.0 m/s cos 65o 4.23 m/s
b) voy vosin f 10.0 m/s sin 65o 9.06 m/s

86
Projectile Test Answers

Givens
yo .25 m
y.98m
vo 10.0 m/s f 650
g - 9.8 m/s2
vfy0m/s
a) vox vocos f 10.0 m/s cos 65o 4.23 m/s
b) voy vosin f 10.0 m/s sin 65o 9.06 m/s

87
Projectile Test Answers

Givens
yo .25 m
y.98m
vo 10.0 m/s f 650
g - 9.8 m/s2
vfy0m/s
a) vox vocos f 10.0 m/s cos 65o 4.23 m/s
b) voy vosin f 10.0 m/s sin 65o 9.06 m/s

88
Projectile Test Answers

Givens
yo .25 m
y.98m
vo 10.0 m/s f 650
g - 9.8 m/s2
vfy0m/s
a) vox vocos f 10.0 m/s cos 65o 4.23 m/s
b) voy vosin f 10.0 m/s sin 65o 9.06 m/s

89
Projectile Test Answers

Givens
yo .25 m
y.98m
vo 10.0 m/s f 650
g - 9.8 m/s2
vfy0m/s
a) vox vocos f 10.0 m/s cos 65o 4.23 m/s
b) voy vosin f 10.0 m/s sin 65o 9.06 m/s

90
Projectile Test Answers

c) Given
yo .25 m
y.98m
vo 10.0 m/s
f 650
g - 9.8 m/s2
vfy0m/s
vfyviy gt tvfy-viy 0 m/s 9.06
m/s .92seconds
g 9.8m/s2

91
Projectile Test Answers

c) Given
yo .25 m
y.98m
vo 10.0 m/s
f 650
g - 9.8 m/s2
vfy0m/s
vfyviy gt tvfy-viy 0 m/s 9.06
m/s .92seconds
g 9.8m/s2

92
Projectile Test Answers

c) Given
yo .25 m
y.98m
vo 10.0 m/s
f 650
g - 9.8 m/s2
vfy0m/s
vfyviy gt tvfy-viy 0 m/s 9.06
m/s .92seconds
g 9.8m/s2

93
Projectile Test Answers

c) Given
yo .25 m
y.98m
vo 10.0 m/s
f 650
g - 9.8 m/s2
vfy0m/s
vfyviy gt tvfy-viy 0 m/s 9.06
m/s .92seconds
g 9.8m/s2

94
Projectile Test Answers

c) Given
yo .25 m
y.98m
vo 10.0 m/s
f 650
g - 9.8 m/s2
vfy0m/s
vfyviy gt tvfy-viy 0 m/s 9.06
m/s .92seconds
g 9.8m/s2

95
Projectile Test Answers

c) Given
yo .25 m
y.98m
vo 10.0 m/s
f 650
g - 9.8 m/s2
vfy0m/s
vfyviy gt tvfy-viy 0 m/s 9.06
m/s .92seconds
g 9.8m/s2

96
Projectile Test Answers

c) Given
yo .25 m
y.98m
vo 10.0 m/s
f 650
g - 9.8 m/s2
vfy0m/s
vfyviy gt tvfy-viy 0 m/s 9.06
m/s .92seconds
g 9.8m/s2

97
Projectile Test Answers

c) Given
yo .25 m
y.98m
vo 10.0 m/s
f 650
g - 9.8 m/s2
vfy0m/s
vfyviy gt tvfy-viy 0 m/s 9.06
m/s .92seconds
g 9.8m/s2

98
Projectile Test Answers

c) Given
yo .25 m
y.98m
vo 10.0 m/s
f 650
g - 9.8 m/s2
vfy0m/s
vfyviy gt tvfy-viy 0 m/s 9.06
m/s .92seconds
g 9.8m/s2

99
Projectile Test Answers

c) Given
yo .25 m
y.98m
vo 10.0 m/s
f 650
g - 9.8 m/s2
vfy0m/s
vfyviy gt tvfy-viy 0 m/s 9.06
m/s .92seconds
g 9.8m/s2

100
Projectile Test Answers

c) Given
yo .25 m
y.98m
vo 10.0 m/s
f 650
g - 9.8 m/s2
vfy0m/s
vfyviy gt tvfy-viy 0 m/s 9.06
m/s .92seconds
g 9.8m/s2

101
Projectile Test Answers

Determine the maximum height achieved by the
ball.
d) yf yi viyt ½ gt2
yf .25m 10 m/s (.92s) ½ (-9.8m/s2)(.92s)2
5.25m
Determine the horizontal position of the ball at
the maximum height.
e) vixvx Dx t vx Dx .92 s (10
m/s) 9.2 m
t

102
Projectile Test Answers

Determine the maximum height achieved by the
ball.
d) yf yi viyt ½ gt2
yf .25m 10 m/s (.92s) ½ (-9.8m/s2)(.92s)2
5.25m
Determine the horizontal position of the ball at
the maximum height.
e) vixvx Dx t vx Dx .92 s (10
m/s) 9.2 m
t

103
Projectile Test Answers

Determine the maximum height achieved by the
ball.
d) yf yi viyt ½ gt2
yf .25m 10 m/s (.92s) ½ (-9.8m/s2)(.92s)2
5.25m
Determine the horizontal position of the ball at
the maximum height.
e) vixvx Dx t vx Dx .92 s (10
m/s) 9.2 m
t

104
Projectile Test Answers

Determine the maximum height achieved by the
ball.
d) yf yi viyt ½ gt2
yf .25m 10 m/s (.92s) ½ (-9.8m/s2)(.92s)2
5.25m
Determine the horizontal position of the ball at
the maximum height.
e) vixvx Dx t vx Dx .92 s (10
m/s) 9.2 m
t

105
Projectile Test Answers

Determine the maximum height achieved by the
ball.
d) yf yi viyt ½ gt2
yf .25m 10 m/s (.92s) ½ (-9.8m/s2)(.92s)2
5.25m
Determine the horizontal position of the ball at
the maximum height.
e) vixvx Dx t vx Dx .92 s (10
m/s) 9.2 m
t

106
Projectile Test Answers

Determine the maximum height achieved by the
ball.
d) yf yi viyt ½ gt2
yf .25m 10 m/s (.92s) ½ (-9.8m/s2)(.92s)2
5.25m
Determine the horizontal position of the ball at
the maximum height.
e) vixvx Dx t vx Dx .92 s (10
m/s) 9.2 m
t

107
Projectile Test Answers

Determine the maximum height achieved by the
ball.
d) yf yi viyt ½ gt2
yf .25m 10 m/s (.92s) ½ (-9.8m/s2)(.92s)2
5.25m
Determine the horizontal position of the ball at
the maximum height.
e) vixvx Dx t vx Dx .92 s (10
m/s) 9.2 m
t

108
Projectile Test Answers

Determine the maximum height achieved by the
ball.
d) yf yi viyt ½ gt2
yf .25m 10 m/s (.92s) ½ (-9.8m/s2)(.92s)2
5.25m
Determine the horizontal position of the ball at
the maximum height.
e) vixvx Dx t vx Dx .92 s (10
m/s) 9.2 m
t

109
Projectile Test Answers

f) Determine the total time of flight from the
.25 m vertical launch position to the .98 m
vertical landing position.
y yo vosin f t ½ g t2
.98 .25m 10m/s sin(650) t ½ (-9.8 m/s2)
(t)2
0 -.73 m 9.06 m/s ( t ) ½ (-9.8 m/s2) (t)2
A -4.9 B 9.06 C -.73 m
Using the quadratic equation t .0844s (way up
) and 1.76s (way down)

110
Projectile Test Answers

f) Determine the total time of flight from the
.25 m vertical launch position to the .98 m
vertical landing position.
y yo vosin f t ½ g t2
.98 .25m 10m/s sin(650) t ½ (-9.8 m/s2)
(t)2
0 -.73 m 9.06 m/s ( t ) ½ (-9.8 m/s2) (t)2
A -4.9 B 9.06 C -.73 m
Using the quadratic equation t .0844s (way up
) and 1.76s (way down)

111
Projectile Test Answers

f) Determine the total time of flight from the
.25 m vertical launch position to the .98 m
vertical landing position.
y yo vosin f t ½ g t2
.98 .25m 10m/s sin(650) t ½ (-9.8 m/s2)
(t)2
0 -.73 m 9.06 m/s ( t ) ½ (-9.8 m/s2) (t)2
A -4.9 B 9.06 C -.73 m
Using the quadratic equation t .0844s (way up
) and 1.76s (way down)

112
Projectile Test Answers

f) Determine the total time of flight from the
.25 m vertical launch position to the .98 m
vertical landing position.
y yo vosin f t ½ g t2
.98 .25m 10m/s sin(650) t ½ (-9.8 m/s2)
(t)2
0 -.73 m 9.06 m/s ( t ) ½ (-9.8 m/s2) (t)2
A -4.9 B 9.06 C -.73 m
Using the quadratic equation t .0844s (way up
) and 1.76s (way down)

113
Projectile Test Answers

f) Determine the total time of flight from the
.25 m vertical launch position to the .98 m
vertical landing position.
y yo vosin f t ½ g t2
.98 .25m 10m/s sin(650) t ½ (-9.8 m/s2)
(t)2
0 -.73 m 9.06 m/s ( t ) ½ (-9.8 m/s2) (t)2
A -4.9 B 9.06 C -.73 m
Using the quadratic equation t .0844s (way up
) and 1.76s (way down)

114
Projectile Test Answers

f) Determine the total time of flight from the
.25 m vertical launch position to the .98 m
vertical landing position.
y yo vosin f t ½ g t2
.98 .25m 10m/s sin(650) t ½ (-9.8 m/s2)
(t)2
0 -.73 m 9.06 m/s ( t ) ½ (-9.8 m/s2) (t)2
A -4.9 B 9.06 C -.73 m
Using the quadratic equation t .0844s (way up
) and 1.76s (way down)

115
Projectile Test Answers

f) Determine the total time of flight from the
.25 m vertical launch position to the .98 m
vertical landing position.
y yo vosin f t ½ g t2
.98 .25m 10m/s sin(650) t ½ (-9.8 m/s2)
(t)2
0 -.73 m 9.06 m/s ( t ) ½ (-9.8 m/s2) (t)2
A -4.9 B 9.06 C -.73 m
Using the quadratic equation t .0844s (way up
) and 1.76s (way down)

116
Projectile Test Answers