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A ball dropped from rest accelerates at a constant rate of 9.81 m/s^2 if we igno

ID: 1279657 • Letter: A

Question

A ball dropped from rest accelerates at a constant rate of 9.81 m/s^2 if we ignore air resistance. If air resistance is not ignored, the ball reaches a terminal speed when the drag force of the air acting on the ball is equal to the gravitational force acting upon the ball. If the ball is thrown vertically at a speed greater than the terminal speed, the acceleration of the ball is... a) ...9.81 m/s^2 b) ...less than 9.81 m/s^2 c) ...greater than 9.81 m/s^2 but less than 19.62 m/s^2 d) ...19.62 m/s^2 or greater e) More information is required. Explain your response in the space provided.

Explanation / Answer

c) If the ball falls at a speed greater than its terminal velocity, then the force of resistance is greater than the force of gravity. This makes acceleration greater than 9.81 m/s2 (g). Also, I think gravitational potential can't exceed 19.62 m/s2.

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