A player kicks a football at an angle of 37 degrees with the horizontal and with an initial speed of 48 ft/sec. A second player standing at a distance of 100 ft from the first in the direction of the kick starts running to meet the ball at the instant it is kicked. 

a) Describe the motion of the football. Make a complete set of motion graphs that completely describe the motion of the ball. Provide the maximum height of the ball and the horizontal position of the ball when it has its maximum height. 

b) What is the velocity of the ball at maximum height? Provide the magnitude and direction of the velocity. 

c) What is the relative velocity of the ball relative to second player when the ball is exactly at the moment it reaches its maximum height? 

d) How fast must he run in order to catch the ball before it hits the ground? 

e) How far from the position of the initial kick will the second player pick up the ball?