Ablock is given a very brief push up a 20.0° frictionless incline to give it an initial speed of 12.0 m/s. (a) how far along the surface of the plane does the block slide before coming to rest? m

The incline is frictionless, this means we can use the conservation of energy: the initial kinetic energy of the block

is converted into gravitational potential energy

where h is the height reached by the block as it stops. By equalizing the two formulas, we get



However, this is the maximum height reached by the block. The distance along the surface of the plane is given by: