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At the beginning of a basketball game, a referee tosses the ball straight up with a speed of 4.97 m/s. A player cannot touch the ball until after it reaches its maximum height and begins to fall down. What is the minimum time that a player must wait before touching the ball?

Question

At the beginning of a basketball game, a referee tosses the ball straight up with a speed of 4.97 m/s. A player cannot touch the ball until after it reaches its maximum height and begins to fall down. What is the minimum time that a player must wait before touching the ball?

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Step 1

Let v be the final velocity, vo be the initial velocity, a is the acceleration and t is the time taken. Using Newton’s equation of motion,

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Step 2

On re-arranging and substi...

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