How Do You Calculate Initial Speed on a Frictionless Incline?

[bosox3790]

Please can someone explain to me how to get the answer to this problem:

A sled is initially given a shove up a frictionless 27.0° incline. It reaches a maximum vertical height 1.20 m higher than where it started. What was its initial speed?

Thank you.

 

[stunner5000pt]

the easiest way would be using energy conservation

at the bottom of the slope what kind of energy does the cart have?

at the top of the slope what kind of energy does the cart have?

can you calculate either of these energies?







Did the cart lose any energy on its up the slope? It it didnt what can you say about the two energies you just calculated?