KINS 382 Lab 2

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KINS 382 - Lab 2

• Linear Velocity

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Velocity

• Velocity is a unit that measures rate of movement
  and direction of the movement.
• Velocity is a derived quantity. The quantity is
  derived from time and displacement.
• The standard measurement of velocity (V) is
  meters/second.
• V can also be measured in mi/hr, ft/sec, etc..

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Time

• Time is a fundamental quantity.
• Time is measured in seconds.

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Distance

• Distance is a fundamental quantity.
• Distance is measured in a number of units
  including meters, feet, miles, and inches.
• The standard and internationally accepted unit of
  measurement for distance is meters.
• Displacement is used in the formula for Velocity
  and distance is used for speed

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The Equation for Velocity

• Velocity displacement/time
• There are instances that you will need to find
  displacement or time and you will be given
  velocity.
• Time displacement/velocity
• Displacement (velocity)(time)

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How to Manipulate the Equation for Velocity

• From V d/t, To t d/V
• (Step1) t (x) V d/t (x) t
• (Step2) (t)(V) d
• (Step3) (t)(V)/V d/V
• (Step4) t d/V
• Steps 2 and 4 are the equations for distance
  and time respectfully.

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Question 1

• Derek Jeter runs from first to second with an
  average velocity of 21.75mi/hr. He runs a
  distance of 80ft. (He had a 10ft lead off and the
  bases are 90ft apart). How many seconds does this
  take him.

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Answer 1

• V 21.75mi/hr d 80ft. t ?
• The equation we need is t d/v
• (Step1) Convert V to ft/s thus V 21.75mi/hr X
  1.47ft/s./1mi/hr. 31.97ft/s.
• (Step2) t 80ft./31.97ft/s. 2.50s

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Question 2

• A study was done to determine if a baseball
  player who bats left handed has an advantage in
  reaching first base.
• The average distance to run from the left handed
  batters side was 88.71ft and V 21.20ft/s. The
  average distance to run from the right handed
  batters side was 92.32ft and V 21.27ft/s
• How long does it take to reach first base batting
  left handed? How long for a right handed batter?
  (The answer needs to be given in seconds.)

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Answer 2

• Lefty d 88.71ft., V 21.20ft./s., t ?
• (Step1) t 88.71ft./21.20ft./s. 4.18s
• Righty d 92.32ft., V 21.27ft./s., t ?
• (Step1) t 92.32ft./21.27ft./s 4.34s

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Question 3

• Runner A completes 1500m at an average speed of
  7.30m/s.
• Runner B completes 1500m with a time of 3.38min.
• Calculate the time for runner A and the speed for
  runner B in m/s and mi/hr.

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Answer 3

• Runner A V 7.30m/s., d 1500m, t ?
• (Step1) t 1500m/7.30m/s 205.48s
• (Step2) t 205.48s X 1min./60s. 3.42min. Or
  325sec (.42min X 60sec/1min 25sec)
• Runner B d 1500m., t 3.38min., V ?
• (Step1) 3.38min. X 60s./1min. 202.8s
• (Step2) V 1500m/202.8s 7.40m/s
• (Step3) 7.40m/s X 1mi./hr./.447m/s 16.55mi/hr.

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Question 4

• A basketball coachs favorite drill is known as a
  suicide. A good time is between 25-30sec.
  Knowing that a basketball court is 90 feet in
  length, calculate the average speed needed to
  finish the drill in the time frame given.
• The total distance covered by the runner is 450ft.

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Answer 4

• Time (1) 30sec. d 450ft.
• (Step1) V d/t V 450ft./30sec. 15ft/sec
• (Step2) 15ft./s. X .304m./1ft. 4.56m/s
• Time (2) 25sec. d 450ft.
• (Step1) V d/t V 450ft./25sec. 18ft/sec
• (Step2) 18ft./s. X .304m./1ft. 5.47m/s

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Question 5

• Ben Johnson ran a wind aided 100m in 9.79sec.
  What was his velocity? If his velocity was to
  reach 10.63m/s what would his time be?

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Answer 5

• Part1 d 100m, t 9.79s, V ?
• (Step1) V 100m/9.79s 10.21m/s
• Part2 V 10.63m/s, d 100m, t ?
• (Step1) t 100m/10.63m/s 9.41s

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Question 6

• Dr. Stull ran for 25minutes at a speed of
  4.2mi./hr. What is his distance in miles and in
  meters?

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Answer 6

• d (t)(v)
• t 25min. V 4.2mi./hr.
• (Step1) Convert min. to sec., 25min X 60sec
  1500s
• (Step2) Convert mi/hr to m/s, 4.2mi./hr. X
  .447m./s./1mi./hr. 1.88m/s
• (Step3) d (1500s)(1.88m/s) 2820m
• (Step4) 2820m X 1mi/1609.35m 1.75miles

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Question 7

• The winner of the Clam Beach Run finished in
  8.75miles with an average speed of 5.10m/s. What
  was his time in minutes and seconds?

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Answer 7

• V 5.10m/s d 8.75miles t ?
• (Step1) Convert miles to meters. 8.75mi. X
  1609.35m/1mi. 14,081.81 meters
• (Step2) 14,081m/5.10m/s 2761.14s
• (Step3) 2761.14s X 1min/60s 46.02 min

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Conclusion

• Have a nice lunch!!!!
• Study hard!!!!