Question

Problem 1 (American football) For the purposes of this problem, neglect air re- sistance. Suppose that you and your friend are playing catch with a football of mass m at some distance D apart from each other, as shown in the figure below FI (a) (5 points) At first, your friend is nice and throws the ball to you exactly where you r friend throws the ball from some height H above the ground at are. Assuming you some anglefro the horizontal, and that you catch the ball at the same height H, at what initial speed V does your friend throw it? Express V in terms of m, D, 0, and the acceleration g due to gravity (b) (5 points) After a while, your friend gets bored and decides to make you run, throwing the ball from the same height H at the same angle 9, but with an initial speed of U (where U >V). At what average speed S should you run so that you catch the ball at waist height W? Express S in terms of m, D, H, W. e, U, and g. Assume that you start running as soon as your friend lets go of the ball.

Answer 1