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

Step-by-step 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* (-10)* 215`

`v^2=3250-4300`

v=3249.33 m/s