There are 24 frames per second Our goal is to use this video to measure the acce
ID: 1571930 • Letter: T
Question
There are 24 frames per second
Our goal is to use this video to measure the acceleration of the space shuttle Endeavor as it moves the first 60 meters after liftoff. What is the last frame before the shuttle begins to move? (Do not enter units for this answer.) 144 At what frame has the shuttle traveled 60 meters? (Do not enter units for this answer.) 246 What is the elapsed time? 4.25 s Assuming constant acceleration, at what rate is the shuttle accelerating? 3.388 m/s^2 If the shuttle continued to move with this acceleration, what speed would it reach 40 s after launch? If the shuttle traveled directly upwards, what would is altitude be at 40 s?Explanation / Answer
d = distance travelled = 60 m
Vo = initial velocity = 0 m/s
t = time elapsed = 4.25 sec
a = acceleration
using the formula
d = Vo t + (0.5) a t2
60 = 0 (4.25) + (0.5) a (4.25)2
a = 6.64 m/s2
at t = 40 sec
velocity is given as
Vf = Vo + a t
Vf = 0 + 6.64 x 40
Vf = 265.6 m/s
distance travelled after 40 s is given as
D = Vo t + (0.5) a t2
D = 0 (40) + (0.5) (6.64) (40)2 = 5312 m
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