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If the ball were not intercepted nor met with any interference when the player s

ID: 3279429 • Letter: I

Question

If the ball were not intercepted nor met with any interference when the player shot toward the basket, the final velocity of the ball at two feet off the floor would be? (Please show work)
A. 0 m/s B. 5 m/s C. 10 m/s A basketball player of mass 70 kg raises on the ball of one foot to take a shot. To do this, the gastrocnemius muscle pulls on the heel through the Achilles tendon with force F and the tibia pushes down on the ankle joint with force P. The floor pushes up on the ball of the foot witlh force, mg, equal to the player's weight. The situation is diagramed in Figure 1. mg 4.5 12.5 cm Heel Toe Flgure 1 The player shoots the basketball (mass 1.50 kg) from a height of 2 meters above the floor, at an angle of 45o above the horizontal and with an initial speed of 10 m/sec. The ball does not reach the basket. During the scuffle under the basket, the ball is thrown violently back toward the player who took the shot and strikes him in the thigh. The ball, moving horizontally with a spee of 15 m/sec, strikes the vertical thigh and rebounds horizontally with a speed of 10 m/sec. This situation is diagramed in Figure 2. Hip 10.0 m/s 15.0 m/s Knce Flgure 2

Explanation / Answer

The ball is launched from a height of 2 meters above the ground. The initial speed was 10 m/s. So after traveling a parabolic path, when it comes down to a height 2 meters again, the speed of the ball due to conservation of energy must be 10 m/s since there was no interference or resistance in the ball's path.

therefore, the final speed at a height of 2 meters above the ground should be 10 m/s [option C].

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