A quarterback throws a football with an initial velocity of 72 ft/sec at an angle of 25°. The height of the ball can be modeled by h(t) = -16t^{2} + 30.4t + 5 where h(t) is the height (in ft) and t is the time in seconds after release.

a. Determine the time at which the ball will be at its maximum height.
b. Determine the maximum height of the ball.
c. Determine the amount of time required for the ball to reach the receiver’s hands if the receiver catches the ball at a point 3 ft off the ground.