# How far is the free throw line from the basket

Posted By Admin @ September 03, 2022

#### 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 8.15 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.

Explanation:

Let say the ball is projected at an angle with horizontal

So here two components of the velocity of the ball is given as

now the displacement in x direction is given as

in y direction it is given as

now from above two equations

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