A sled is initially given a shove up a frictionless 28.0 degree incline. It reaches a maximum vertical height 1.45m higher than where it started. What was the initial speed?
The answer is 5.14m/s

Question

A sled is initially given a shove up a frictionless 28.0 degree incline. It reaches a maximum vertical height 1.45m higher than where it started. What was the initial speed? 
The answer is 5.14m/s

anonymous · Answer

Are you sure vertical height is 1.45 m

anonymous · Answer

total energy will remain conserved. 

Initially total energy is purely kinetic (I am taking this point as the reference)
and finally the total energy is purely potential energy.

Equate the two and find inital velocity