1) From a stand-still (vQB = 0), a quarterback throws a footballat angle ? with speed vb. A receiver, running in line with thethrow at speed vr, catches the football as it lands. In thisexercise, we explore what the ball’s trajectory looks like in theframe of the receiver.

(i) What are the x and y components of the football’s velocityin the frame of the receiver as the ball lands?

(ii) At what angle ?r does the ball land in the receiver’sframe? Is ?r steeper or shallower than ??

(iii) At what speed must the receiver run for the ball to falldirectly downwards in their frame?

(iv) If vr = vb cos(?)/2, then how far does the ball travel inthe receiver’s frame? Express your answer in terms of ?, vb, andg.