1. You are setting up for a pool party that has a 2.5 m high slide that launches swimmers into the pool. To make it more exciting, you decide to string a steamer across the pool so that the swimmers just clear it at their maximum height after leaving the slide. The end of the slide is 0.75 m above the ground and is directed 20° above the horizontal. By watching people use the slide, you know the horizontal distance to place the streamer, so you only need to determine the maximum height. You are also curious how fast the swimmers are going when they enter the pool. In your estimates, you can assume that the swimmer starts at rest at the top of the slide and ignore friction on the slide and air resistance.

1. You are setting up for a pool party that has a 2.5 m high slide that launches swimmers into the pool. To make it more exciting, you decide to string a steamer across the pool so that the swimmers just clear it at their maximum height after leaving the slide. The end of the slide is 0.75 m above the ground and is directed 20° above the horizontal. By watching people use the slide, you know the horizontal distance to place the streamer, so you only need to determine the maximum height. You are also curious how fast the swimmers are going when they enter the pool. In your estimates, you can assume that the swimmer starts at rest at the top of the slide and ignore friction on the slide and air resistance.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

1. You are setting up for a pool party that has a 2.5 m high slide that launches
swimmers into the pool. To make it more exciting, you decide to string a steamer
across the pool so that the swimmers just clear it at their maximum height after
leaving the slide. The end of the slide is 0.75 m above the ground and is directed
20° above the horizontal. By watching people use the slide, you know the horizontal
distance to place the streamer, so you only need to determine the maximum height.
You are also curious how fast the swimmers are going when they enter the pool. In
your estimates, you can assume that the swimmer starts at rest at the top of the slide
and ignore friction on the slide and air resistance.
2.5 m
0.75 m
streamer
If the angle of the slide were different (say 15°) would either the maximum height or
the speed when entering the water be different?
Note: Use conservation of energy to answer these questions.

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