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The free throw line in basketball is 4.57 m (15 ft) from

Chapter 3, Problem 44

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QUESTION:

Problem 44PE

The free throw line in basketball is 4.57 m (15 ft) from the basket, which is 3.05 m (10 ft) above the floor. A player standing on the free throw line throws the ball with an initial speed of 7.15 m/s, releasing it at a height of 2.44 m (8 ft) above the floor. At what angle above the horizontal must the ball be thrown to exactly hit the basket? Note that most players will use a large initial angle rather than a flat shot because it allows for a larger margin of error. Explicitly show how you follow the steps involved in solving projectile motion problems.

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QUESTION:

Problem 44PE

The free throw line in basketball is 4.57 m (15 ft) from the basket, which is 3.05 m (10 ft) above the floor. A player standing on the free throw line throws the ball with an initial speed of 7.15 m/s, releasing it at a height of 2.44 m (8 ft) above the floor. At what angle above the horizontal must the ball be thrown to exactly hit the basket? Note that most players will use a large initial angle rather than a flat shot because it allows for a larger margin of error. Explicitly show how you follow the steps involved in solving projectile motion problems.

ANSWER:

ANSWER:

Step 1:-

        Distance between the basket and free throw line is 4.57 m.

        The height of the basket above the ground is 3.05 m.

        Initial speed of the ball was .

        The height from which the ball was released is above the ground.

        This is shown in the diagram given below.

 

                

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