A football is to be thrown by a quarterback to a receiver who is running at a constant velocity of 10.6 m/s directly away from the quarterback, who intends for the ball to be caught a distance of 37.8 m away.
At what distance should the receiver be from the quarterback when the ball is released?
Assume the football is thrown at an initial angle of 45.0° and that it is caught at the same height at which it is released.