Jack and Jill are involved in a friendly game which involves maximizing the distance (i.e. range) of their arrow shots. Jack's position is at the base of a tower while Jill is at its top. The height of the tower is 50 meters. The maximum velocity imparted to the arrow from their respective bows is 10m/s (g=10m/s)
a) At what angle should Jack launch his arrow to maximize his range of shot?
b) At what angle should Jill launch her arrow to maximize her range of shot?
c) Compute range in each case. (range measured from tower base)