Conceptual work/energy question

[Inertialforce]

Homework Statement

Person A is seen going down a slide with height "h". A few seconds later the same person A is seen going down a steeper slide with the same height "h" (same height for both slides). Using principles of physics, explain how the new horizontal distance from the edge of the slide compares with the first situation. Friction and air resistance are negligible.

Homework Equations

The Attempt at a Solution

The conclusion I came to was:

With the new horizontal distance from the edge of the slide, nothing would change because if you neglect the effects of friction and air resistance then that means that you neglect all non-conservative forces and the work done by it. Therefore without any non-conservative forces to effect the system, the change in potential energy would therefore equal the change in kinetic energy (or ΔEp = ΔEk). To sum it up, the steeper slide makes no difference because the only thing that has changed is the angle of the slide.

Would this be correct?

 

[djeitnstine]

Correct.

 

[djeitnstine]

Remember since h remains the same. Ep and Ek are related by $$v = \sqrt{2gh}$$