Paper 4, Section I, A

Dynamics and Relativity | Part IA, 2019

Galileo releases a cannonball of mass mm from the top of the leaning tower of Pisa, a vertical height hh above the ground. Ignoring the rotation of the Earth but assuming that the cannonball experiences a quadratic drag force whose magnitude is γv2\gamma v^{2} (where vv is the speed of the cannonball), find the time for it to hit the ground in terms of h,m,γh, m, \gamma and gg, the acceleration due to gravity. [You may assume that gg is constant.]

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