An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter2: Motion
Section2.5: Projectile Motion
Problem 2PQ
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A projectile is shot from ground level at 100 ft/s at a launch angle of θ that is between θ and π /2. Assume that the projectile is acted on by gravity, but not air resistance. Then, in a simple projectile-motion model it can be shown that the projectile lands at a distance R(θ) = 625 sinθcosθ ft from the launch point. What is the rate of change of the range with respect to the launch angle? For what angles does the range increase/decrease with increasing launch angle? What angle provides the maximum range, and what is that maximum range?
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