Train car coasting up a 3.73 degree incline without friction

[jwang023]

Homework Statement

This was a problem I needed help on.
A train is traveling up a 3.73 degree incline at a speed of 3.25 m/s when the last car breaks free and begins to coast without friction.
a). how long does it take for the last car to come to rest momentarily?
b). how far did the last car travel before momentarily coming to rest?

Homework Equations

I'm thinking I use some vector quantities/nature of forces?

The Attempt at a Solution

 

[theRIAA]

g*sin(3.73) to find the force of gravity. find the y vector of the speed and ignore the x vector for now.

 

[jwang023]

Thanks. Got it