Question
At the beginning of a basketball game, the referee tosses the ball vertically into the air. Its height, h, in feet after t seconds is given by h(t) = -16t2 + 24t +5. During what time interval (to the nearest tenth of a second) is the height of the ball greater than 9 feet?
Answers
Steve
-16t^2 + 24t + 5 > 9
16t^2 - 24t + 4 < 0
3-√5 < 4t < 3+√5
0.2 < t < 1.3
16t^2 - 24t + 4 < 0
3-√5 < 4t < 3+√5
0.2 < t < 1.3