# The height in feet of a golf ball hit into the air is given by #h= -16t^2 + 64t#, where t is the number of seconds elapsed since the ball was hit. How long does it take for the ball to reach the maximum height?

##### 1 Answer

Jul 24, 2016

2 second

#### Explanation:

The trajectory of the ball is a downward parabola passing by the origin. The ball reaches the maximum height at the parabola's vertex. On the coordinate grid (t, h),

t-coordinate of vertex:

Answer: It takes 2 second for the ball to reach the max height h.