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The free throw line in basketball is 4.57 m (15 ft) from the basket, which is 3.

ID: 1283612 • Letter: T

Question

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 7.25 m/s, releasing it at a height of 2.56 m 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.

Previous answers have not been written very clearly. Please write clearly. Thank you.

Explanation / Answer

Use the trajectory equation:
y = h + x

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