Acceleration on an inclined plane

[Ohoneo]

Homework Statement

A student is skateboarding down a ramp that is 6.2 m long and inclined at 13° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 2.1 m/s. Neglect friction and find the speed at the bottom of the ramp.

Homework Equations

F = ma
Not sure what else

The Attempt at a Solution

I honestly don't know where to start with this. There's no problem like this in the reference chapters.
I found the initial velocity components of the skateboarder.
x component = 2.05
y component = 0.47

But I'm stuck from here =/

 

[Mandeep Deka]

Two ways to approach the problem:
1. Use conservation of energy. Equate the change in net kinetic energy of the body to the change in the gravitational potential energy.
2. Use force-acceleration method. Find out the net force acting on the body along the incline and hence the net acceleration of it. You know the initial velocity, you know the distance traveled by the body. Use the third equation of motion to obtain the velocity at the bottom of the ramp.