A ball having mass m falls from a tower with height h from the ground. The velocity of the ball satisfies the following relationship: m dv/dt = -mg; v(0), If y is the height of the ball from the ground, then y' = v. Neglect the air resistance and show that the time when the ball hits the surface is t= √2h/g

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.64P
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A ball having mass m falls from a tower with height h from the ground. The velocity of the ball satisfies the following relationship: m dv/dt = -mg; v(0), If y is the height of the ball from the ground, then y' = v. Neglect the air resistance and show that the time when the ball hits the surface is t= √2h/g

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