A solid rubber ball of density d and radius E falls vertically through air. Assume that the air resistance acting on the ball is F $$=$$ kRV, where k is constant and V its velocity. Because of this air resistance, the ball attains a constant velocity called terminal velocity Vt after some time. Then Vt is

Question

Infinity Learn · Accepted Answer

The ball attains the terminal velocity when the resultant force acting on the ball is zero. This happens when air resistance F acting upwards is exactly equal to the weight m g of the ball acting vertically downwards.∴ $$kRVt=mg=43$$$$π$$$$R3dgor$$ $$Vt=4$$$$π$$$$R2d$$'$$g3k$$

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