Show complete solution A ball is thrown following a projectile motion. It is known that the horizontal distance (range) the ball can travel is given by R=v02gsin 2θ , where r is the range (in feet), v0 is the initial speed (in ft/s), θ is the angle of elevation the ball is thrown, and g=32 ft/s2 is the acceleration due to gravity. a. Express the new range in terms of the original range when an angle (0< θ<45°) is doubled. b. If a ball travels a horizontal distance of 20 ft when kicked at an angle of with initial speed of ft/s, find the horizontal distance it can travel when you double .
Show complete solution A ball is thrown following a projectile motion. It is known that the horizontal distance (range) the ball can travel is given by R=v02gsin 2θ , where r is the range (in feet), v0 is the initial speed (in ft/s), θ is the angle of elevation the ball is thrown, and g=32 ft/s2 is the acceleration due to gravity. a. Express the new range in terms of the original range when an angle (0< θ<45°) is doubled. b. If a ball travels a horizontal distance of 20 ft when kicked at an angle of with initial speed of ft/s, find the horizontal distance it can travel when you double .
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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A ball is thrown following a projectile motion. It is known that the horizontal distance (range) the ball can travel is given by R=v02gsin 2θ , where r is the range (in feet), v0 is the initial speed (in ft/s), θ is the angle of elevation the ball is thrown, and g=32 ft/s2 is the acceleration due to gravity.
a. Express the new range in terms of the original range when an angle (0< θ<45°) is doubled.
b. If a ball travels a horizontal distance of 20 ft when kicked at an angle of
with initial speed of ft/s, find the horizontal distance it can travel when you double .
Hint: use result of item (a).
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