Question

A ball is thrown into the air with an upward velocity of 24 ftys. Its height h in feet after t seconds is given by the function h -16t2 24t+ 7

a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary.
b. What is the ball's maximum height?

Answer 1

The maximum of this parabola is (3/4,16).
Therefore since time is on the x-axis, the ball reaches the maximum height at 3/4secs.
And since the height is on the y-axis, the ball will each a maximum height of 16ft.