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Q.

A ball is thrown upwards into air with a speed greater than its terminal speed. It lands at the same place from where it  was thrown. Mark the correct statement(s).

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a

It acquires terminal speed before it gets to the highest point of the trajectory.

b

Before reaching the highest point of trajectory its speed is continuously decreasing.

c

During the entire flight, the force of air resistance is greatest just after it is thrown.

d

The magnitude of net force experienced by the ball is maximum just after it is thrown.

answer is B.

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Detailed Solution

Initially, the FBD of ball would be as shown in figure.Here, directions of velocity and acceleration are opposite, so particle is slowing down and moving in upward direction. At one instant its velocity becomes zero, which would be the highest point of trajectory. Then it starts falling down, for its descent FBD would be as shown in figure.During its descent, the ball will acquire the terminal speed (assuming ball is not striking ground before acquiring the terminal speed).As work has been done against the resistive force, so speed of throwing is greater than speed with which the particle lands. Hence, force of air friction is greatest when speed is greatest i.e. just after it is thrown.
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