Q.1 A ball falls straight downthrough the air under the influence of gravity.The

Question

Q.1       A ball falls straight downthrough the air under the influence of gravity.There is a retardingforce, F on the ball with magnitude given by F = bv, where v is thespeed of the ball and b is a positive constant. What is the magnitude of the acceleration of the ball atanytime? Q.1       A ball falls straight downthrough the air under the influence of gravity.There is a retardingforce, F on the ball with magnitude given by F = bv, where v is thespeed of the ball and b is a positive constant. What is the magnitude of the acceleration of the ball atanytime?

Explanation / Answer

Net force = Mg - F = Mg - bv R = retarding acceleration = F/M = bv/m v = (g - R)t = (Mg- F)(t/M) Acceleration = g - (bv/M) = g - (b(gt - Ft/M)/M) = g - (bgt/M) -bvt g = 9.8 m/s b = a positive constant M = mass of the object t = any point in time v = speed of the ball at that point in time Im not sure if thats what the problem was asking. Are yousupposed to get acceleration as a component of time?

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