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18 A projectile is fired from level ground with initial speed V at an angle of 0 to the horizontal. Suppose that the greatest height of the projectile is h. a Prove that V² sin² 0 2gh. (V2 + 1Vh) (vz - 1) Vh b Prove that the particle is at height when t = or t = Vg Vg c If the ratio of the speed of the particle at height " to the speed at height h is V5:V2, find 0. 2

18 A projectile is fired from level ground with initial speed V at an angle of 0 to the horizontal. Suppose that the greatest height of the projectile is h. a Prove that V² sin² 0 2gh. (V2 + 1Vh) (vz - 1) Vh b Prove that the particle is at height when t = or t = Vg Vg c If the ratio of the speed of the particle at height " to the speed at height h is V5:V2, find 0. 2

College Physics
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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18 A projectile is fired from level ground with initial speed V at an angle of 0 to the horizontal. Suppose that the greatest height of the projectile is h. a Prove that V² sin² O 2gh. (V2 + 1Vh) (V2 - 1) Vh b Prove that the particle is at height " when t = or t = 2 Vg Vg h c If the ratio of the speed of the particle at height " to the speed at height h is V5:V2, find 0. 2
Transcribed Image Text:18 A projectile is fired from level ground with initial speed V at an angle of 0 to the horizontal. Suppose that the greatest height of the projectile is h. a Prove that V² sin² O 2gh. (V2 + 1Vh) (V2 - 1) Vh b Prove that the particle is at height " when t = or t = 2 Vg Vg h c If the ratio of the speed of the particle at height " to the speed at height h is V5:V2, find 0. 2
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