A basketball player is trying to figure out how to make his free throws every time using physics. The basket is about 3 m high and about 4.6 m away. The player is 2.1 m tall, and he plans to throw the ball at the height of the top of his head. His usual shooting angle is 45 with the horizontal. a. At what velocity should he throw the ball to ensure it lands in the basket?

b. How long does it take for the ball to reach the basket?