What is her maximum height above the water after leaving the slide? Hint: it is possible to do this without doing projectile motion, even desirable as we are trying to learn conservation of energy; this problem does require you to use conservation of energy more than once.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Educational Website Transcription:**

A child starts from rest and slides without friction from a height of \( h = 7.1 \, \text{m} \) along a slide next to a pool (see figure). She is launched from a height of \( 1.3 \, \text{m} \) (ignore the \( h/5 \) in the figure) at an angle of \( 21^\circ \) into the air over the pool. Use \( g=9.8 \, \text{m/s}^2 \).

**Figure Description:**
The diagram shows a side view of a curved slide. The slide begins at height \( h = 7.1 \, \text{m} \) and descends smoothly. A child is depicted at the point of launch at a height of \( 1.3 \, \text{m} \). The launch angle is marked as \( 21^\circ \) above the horizontal. The diagram labels the vertical distance \( y_{\text{max}} \) as the maximum height reached by the child above the water surface, and the height \( h/5 \) is not to be considered in calculations.

**Problem Statement:**
What is her maximum height above the water after leaving the slide? Hint: it is possible to do this without doing projectile motion, even desirable as we are trying to learn conservation of energy; this problem does require you to use conservation of energy more than once.
Transcribed Image Text:**Educational Website Transcription:** A child starts from rest and slides without friction from a height of \( h = 7.1 \, \text{m} \) along a slide next to a pool (see figure). She is launched from a height of \( 1.3 \, \text{m} \) (ignore the \( h/5 \) in the figure) at an angle of \( 21^\circ \) into the air over the pool. Use \( g=9.8 \, \text{m/s}^2 \). **Figure Description:** The diagram shows a side view of a curved slide. The slide begins at height \( h = 7.1 \, \text{m} \) and descends smoothly. A child is depicted at the point of launch at a height of \( 1.3 \, \text{m} \). The launch angle is marked as \( 21^\circ \) above the horizontal. The diagram labels the vertical distance \( y_{\text{max}} \) as the maximum height reached by the child above the water surface, and the height \( h/5 \) is not to be considered in calculations. **Problem Statement:** What is her maximum height above the water after leaving the slide? Hint: it is possible to do this without doing projectile motion, even desirable as we are trying to learn conservation of energy; this problem does require you to use conservation of energy more than once.
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