Quarterback passed a ball to a receiver while running at 1.5 m/s forward. The ball was released at a height of 2.5 meters with an angle of 45 degrees and an initial velocity of 20 m/s. The receiver ran from behind to catch the ball at a height of 2 meters.
a) find the distance the ball traveled.
b) Find the initial distance between the receiver and the quarterback, if the receiver ran at a constant velocity of 7 m/s to catch the ball. Assume he started running at the same time as the ball was thrown.
c) Find the final velocity of the ball and its direction.