(Solved):   Two people are practicing (American) football. They line up along a line looking down-fi ...

  Two people are practicing (American) football. They line up along a line looking down-field (North), with
the receiver 6 [m] to the right (East) of the quarterback (QB). When the QB says, “Go” the receiver runs with a constant
velocity of 3 [m/s] at 25 degrees West of North, and the QB steps back (South) 2 [m] from the line. The QB throws the ball
1 [s] after saying “Go”. The receiver catches the ball at the same height above the ground at which it was thrown and
directly North of the QB.

1) (10 Points) Two people are practicing (American) football. They line up along a line looking down-field (North), with the receiver \( 6[\mathrm{~m}] \) to the right (East) of the quarterback \( (\mathrm{QB}) \). When the \( \mathrm{QB} \) says, "Go" the receiver runs with a constant velocity of \( 3[\mathrm{~m} / \mathrm{s}] \) at 25 degrees West of North, and the \( \mathrm{QB} \) steps back (South) \( 2[\mathrm{~m}] \) from the line. The QB throws the ball 1 [s] after saying "Go". The receiver catches the ball at the same height above the ground at which it was thrown and directly North of the \( \mathrm{QB} \). HINT: I think it's easiest to choose a coordinate system with origin at the location where the QB says "go" with y pointing North, \( \mathrm{x} \) pointing East, and z pointing up. Draw an overhead view and a side view. a) Find the time after quarterback says "Go" it takes receiver to get directly North of quarterback. How does this time relate to the time the ball is in the air? b) Find the distance between where the quarterback throws the ball and where the receiver is when it is caught. c) Find the speed at which the quarterback must throw the ball. d) Find the angle above the horizontal that the quarterback must throw the ball.