Algebera L9-6 Quiz v3

A basketball player take a shot at a three-pointer and sends the ball on a parabolic path. It is 8.5 ft high when it leaves the player's hands. After reaching its maximum height somewhere in between the player and the basket, it's downward arc is genlty interrupted when it swooshes perfectly through the hoop, 10 feet above the floor.

If the hight of the ball t seconds after the ball leaves the player's hands is modeled by the equation h(t)=-5t^{2}+12t+8.5, how many seconds does it take for the ball to reach the basket? Round your answer to the nearest tenth of a second.