Answer:
(a ) vf= 188.12m/s : Final speed at 8.75 s
(b) d= 823.04 m : Distance the rocket sled traveled
Step-by-step 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