Velocity and space and force over distance

[copitlory8]

Homework Statement

A 5.5e4kg space probe is traveling at a speed of 10000 m/s through deep space. Retrorockets are fired along the line of motion to reduce the probe's speed. The retrorockets generate a force of 5.0e5N over a distance of 2500 km. What is the final speed of the probe?

Homework Equations

velocity=10000
Force=
5e5
displacement=2500

The Attempt at a Solution

I just know the kinematics equations. BUt I have no idea how to start.

 

[tiny-tim]

A 5.5e4kg space probe is traveling at a speed of 10000 m/s through deep space. Retrorockets are fired along the line of motion to reduce the probe's speed. The retrorockets generate a force of 5.0e5N over a distance of 2500 km. What is the final speed of the probe?

Hi copitlory8!

You have force and distance, so use the work-energy theorem.