College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 3, Problem 36PE
The world long jump record is 8.95 m (Mike Powell, USA, 1991). Treated as a projectile, what is the maximum range obtainable by a person if he has a take-off speed of 9.5 m/s? State your assumptions.
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By what numerical factor will the range increase if you use a spring gun (fired horizontally) which give the ball four times as much initial velocity as in the lab? Explain your answer.
A physics student performed a projectile experiment. She mentioned that as the initial angle of the projectile increases from 0 to 450, the range also increases (claim 1). Maximum range is attained at
450
(claim 2). As the initial angle increases above 450, the range of the
projectile decreases (claim 3). She was able to verify the first claim in her experiment. Your task is to prove claim 1, 2 and 3 mathematically.
a) At what height above the ground does the projectile have a speed of 0.5v0?
Express your answer in terms of v and g. You may or may not use all of these quantities.
b) What is the speed of the object at the height of (1/2)hmax?
Express your answer in terms of v and g. You may or may not use all of these quantities.
Chapter 3 Solutions
College Physics
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