A 50 kg50 kg soccer player jumps vertically upwards and heads the 0.45 kg ball as it is descending vertically with a speed of 30 m/s. (a) If the player was moving upward with a speed of 4.0 m/s just before impact, what will be the speed of the ball immediately after the collision if the ball rebounds vertically upwards and the collision is elastic? (b) If the ball is in contact with the player's head for 21 m/s, what is the average acceleration of the ball? (Note that the force of gravity may be ignored during the brief collision time.)

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter11: Collisions
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Problem 40PQ: Initially, ball 1 rests on an incline of height h, and ball 2 rests on an incline of height h/2 as...
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A 50 kg50 kg soccer player jumps vertically upwards and heads the 0.45 kg ball as it is descending vertically with a speed of 30 m/s.

(a) If the player was moving upward with a speed of 4.0 m/s just before impact, what will be the speed of the ball immediately after the collision if the ball rebounds vertically upwards and the collision is elastic?

(b) If the ball is in contact with the player's head for 21 m/s, what is the average acceleration of the ball? (Note that the force of gravity may be ignored during the brief collision time.)

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