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.

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  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:
    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

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