Children slide down a frictionless water slide that ends at a height of 1.80 m above the pool. If a child starts from rest at point A and lands in the water at point B, a horizontal distance L = 2.46 m from the base of the slide, determine the height h of the water slide.

Answer 1

I assume A is at the top of the slide. This solution assumes the base of the slide releases the child in a horizontal direction.

time to fall to the water
1.80=1/2 g t
t=3.6/9.8 seconds

velocity at base of slide:
2.46=v*t=v*3.6/9.8
v= you solve that

now height of slide:
PE at top=KE at bottom
mgh=1/2 m v^2
h=1/2 v^2/g and you are done