Calculating Acceleration and Angle on a Frictionless Air Track

[jenc305]

Please help me with this question. I understand how to calculate the velocity from the given conditions but I don't know how to figure out the acceleration or the angle. Thanks!

A cart is released from rest at the top of a perfectly frictionless air track. After an elapsed time delta t = 2.0s, the cart has traveled delta x = 32.0 cm down the track. What is the cart's acceleration? What is the angle of theta of this track?

 

[Tide]

The acceleration of the cart is the component of its weight parallel to the track divided by its mass so $a = g \cos \theta$. The distance it travels is

$$d = \frac {1}{2} a t^2$$

and you have enough information to find the acceleration and the angle.

 

[jenc305]

I've figured out the problem with your help. Thank you!