A model rocket starts from rest and accelerates at 25m/s^2 for 7.5s. The engines

Question

A model rocket starts from rest and accelerates at 25m/s^2 for 7.5s. The engines then cut out and the rocket begins free-fall motion. What is the maximum altitude reached by the rocket?

the answer is ~2500

PLEASE SHOW YOUR WORK

5. A model rocket starts from rest and accelerates at 25 m/s2 for 7.5s. The engines then cut out and the rocket begins free-fall motion. What is the maximum altitude reached by the rocket? -2500 m] from airnort o flies 29nkm Fast then 350km at 30° West of 350km at 30 West of

Explanation / Answer

5. given

model rocket starts from rest

a = 25 m/s/s

t = 7.5 s

then the free fall starts

hence

while accelerating

height reached = d

d = 0.5*a*t^2 = 703.125 m

speed at this point, v = a*t = 187.5 m/s

hence

final altitude = d + (v^2)/2g = 2494.9827 m

the maximum altitude is 2494.9827 m

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