Jon is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when is falls back to a height of 4 feet. The height of the ball is given by h(t)=5+25t-16t^2, where t is the time in seconds. a) How much time will pass before Jon hits the ball? (round to the nearest tenth of a second)
b) What is the time in which the maximum height the ball attains? ( to the nearest hundredth of a second)