A rocket sled accelerates at 21.5 m/s^2 for 8.75 s. (a) What's its velocity at the end of that time? (b) How far has it traveled?

(a) vf = 188.12m/s : Final speed at 8.75 s

(b) d = 823.04 m : Distance the rocket sled traveled

Explanation:

Rocket sled kinematics : The rocket sled moves with a uniformly accelerated movement, then we apply the following formulas:

d = vi*t+1/2a*t² Formula (1)

vf = vi+at Formula (2)

Where:

vi: initial speed = 0

a: acceleration=21.5 m/s²

t: time=8.75 s

vf: final speed in m/s

d:displacement in meters (m)

Calculation of displacement (d) and final speed (vf)

We replace data in formulas (1) and (2):

d = 0+1/2*21.5*8.75²

d = 823.04 m

vf = 0+21.5*8.75

vf = 188.12m/s