Solving Work & Energy Problem: Water Slide Height Calculation

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To solve the water slide height calculation, apply the principles of work and energy, focusing on gravitational potential energy and projectile motion. The swimmer's horizontal distance of 5.00m and time of 0.5 seconds can be used to determine the horizontal velocity upon leaving the slide. Using kinematic equations, calculate the vertical drop based on the time of flight. The height can then be derived from the gravitational potential energy formula, considering the initial velocity at the top of the slide. This approach will yield the required height from the top of the slide to the water surface.
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work & energy; please help!

i need some guidance on how to go about solving this one:

a water slide is constructed so that swimmers, starting from rest at the top of the slide leave the slide traveling horizontally. A person hits the water 5.00m from the end of the slide in a time of 0.5sec after leaving the end of the slide. ignoring friction and sir resistance, find the height from the the top of the slide to the surface of the water.

thnx

ty
 
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