Projectile motion: finding angle

AI Thread Summary
To determine the angle at which a basketball must be thrown to reach the basket, the player must consider the initial speed of 7.15 m/s and the height difference between the release point (2.44 m) and the basket (3.05 m). The projectile motion equations, specifically the horizontal and vertical motion equations, will be essential for solving this problem. The equation sin(2θ) = Rxg/iv can be used to relate the angle to the range and gravitational acceleration. A proper understanding of these equations and their application will lead to the correct angle needed for the shot.
shoust00
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Homework Statement


The free throw line in basketball is 4.57 m (15ft) from the basket, which is 3.05m (10ft) 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 2.44m (8ft) above the floor. At what angle above the horizontal must the ball be thrown to exactly hit the basket?


Homework Equations



I think i will use
sin(2theta)= Rxg/iv

The Attempt at a Solution


I am not sure where to start with this problem

 
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