Question

A spacecraft is traveling with a velocity of +3250 m/s. Suddenly the retrorockets are fired, and the spacecraft begins to slow down with an acceleration whose magnitude is 10 m/s2. What is the velocity of the spacecraft when the displacement of the craft is +215 km, relative to the point where the retrorockets began firing?

Answer 1

Answer:3249.33 m/s

Explanation:

Given

Initial velocity =3250 m/s

acceleration$=-10 m/s^2$

Displacement=215 km

using equation of motion

$v^2-u^2=2as$

where

v=final velocity

u=initial velocity

a=acceleration

s=displacement

$v^2-3250^2=2\times (-10)\times 215$

$v^2=3250-4300$

v=3249.33 m/s