A water park is designing a new water slide that finishes with the rider flying horizontally off the bottom of the slide. The slide is designed to end 1.2 m above the water level, and the average rider is estimated to leave the bottom of the slide at 25 m/s. How far will the rider fly through the air before hitting the water?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 7OQ: A projectile is launched on the Earth with a certain initial velocity and moves without air...
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A water park is designing a new water slide that finishes with the rider flying horizontally off the bottom of the slide. The slide is designed to end 1.2 m above the water level, and the average rider is estimated to leave the bottom of the slide at 25 m/s. How far will the rider fly through the air before hitting the water?
Expert Solution
Step 1

Given data:

The height from the sea level is h=1.2 m

The velocity is u=25 m/s

The following  kinematics equation is used to determine the time of flight:

h=ut+0.5gt21.2=25t+0.5×9.8t2t=0.5 s

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