The graph h = −16t^2 + 25t + 15 models the height and time of a ball that was thrown off of a building where h is the height in feet and t is the time in seconds. at about what time did the ball reach the maximum height?
a) 0.80 seconds
b) 1 second
c) 2 seconds
d) 15 seconds

Option A.

Step-by-step explanation:

The given function is

It models the height and time of a ball that was thrown off of a building where h is the height in feet and t is the time in seconds.

If a parabola is defined by function , then the vertex of the parabola is

In the given function a=-16, b=25 and c=15. It is a downward parabola and vertex of a downward parabola is point of maximum.

We need to find the time at which the height of ball is maximum. It means we need to find the x-coordinate of the vertex.

It means the ball reach the maximum height at about 0.80 seconds.

Therefore, the correct option is A.