Linear Kinematics -

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Linear Kinematics -
v x/t - time rate change of position (m/s) a
?v/t - time rate change of velocity (m/s/s) ?v -
Change in velocity (in m/s) a - acceleration (in
m/s/s)
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Example A car goes from 0 to 27 m/s in 9.0
seconds, what is its acceleration? (show math,
units, meaning, m/s/s, m/s2, ms-2)
a ?v/t, a (27 m/s)/(9.0 s) 3.0 m/s/s
3.0 m/s/s
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Example a ?v/t
A rocket accelerates at 4.5 g s. What time
will it take to reach the speed of sound (Mach I
343 m/s) from rest?
1 g 9.81 m/s/s so 4.5 gs (4.5)(9.81
m/s/s) 44.145 m/s/s a ?v/t, 44.145 m/s/s
(343 m/s)/t t 7.7698 t 7.8 s
t 7.8 s
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Whiteboards Acceleration 1 2 3 4 5
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A car speeds up from 0 to 21 m/s in 5.3 seconds.
What is their acceleration?
a ?v/t a (21 m/s)/(5.3 s) 3.962264151
m/s/s 4.0 m/s/s
4.0 m/s/s
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A train can accelerate at .15 m/s/s. What time
will it take to reach its top speed of 24 m/s
from rest?
a ?v/t ?v 24 m/s, a .15 m/s/s, .. t 160
s 160 s
160 s
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What is the final speed if a person accelerates
from rest at 32 f/s/s for 2.7 seconds?
a ?v/t t 2.7 s, a 32 f/s/s, .. ?v 86.4
f/s 86 f/s
86 f/s
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What is your acceleration if your velocity goes
from 35 m/s to 20. m/s in 4.7 seconds?
a ?v/t ?v -15 m/s, t 4.7 s, .. a
-3.1915 -3.2 m/s/s
-3.2 m/s/s
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What is your final velocity if you are going 12
m/s and you accelerate at .48 m/s/s for the next
16 seconds?
a ?v/t a .48 m/s/s, t 16 s, .. ?v 7.68
m/s 12 m/s 7.68 m/s 19.68 m/s 20. m/s
20. m/s