How Does a Student Walking on a Cart Affect Its Velocity?

[LSCupcake]

Homework Statement

A 63-kg student stands on a 34-kg cart that is free to move in any direction. The cart and student are moving together with a velocity of 3.2 m/s (W). The student then starts to walk so that her velocity is 1.8 m/s (25 degrees W of N) relative to the floor. Calculate the new veloicity of the cart



If anyone knows how to approach/complete this problem. Please share. Thanks.

 

[kuruman]

Use conservation of linear momentum.