A train that is momentarily at rest, Newton's Laws

[cloudage]

Homework Statement

A train is traveling up a 3.73 degrees 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

The Attempt at a Solution

I tried to draw the free body diagram, but since I have either mass or a force I don't know how to proceed. Momentarily at rest means that it's velocity is zero, but I don't know it's acceleration after the car has been released so I can't use the kinematics.

 

[PhanthomJay]

Homework Statement

A train is traveling up a 3.73 degrees 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

The Attempt at a Solution

I tried to draw the free body diagram, but since I have either mass or a force I don't know how to proceed. Momentarily at rest means that it's velocity is zero, but I don't know it's acceleration after the car has been released so I can't use the kinematics.

After the car is released, you should be able to find its acceleration. What net force acts on the car when it is released?

 

[cloudage]

I got it, thank you very much! It would just be gravity acting on it, so I can find the component by using sine. Thanks!

 

[PhanthomJay]

I got it, thank you very much! It would just be gravity acting on it, so I can find the component by using sine. Thanks!

Yes, and welcome to PF!