Question

The function h(t) = –16t2 + 96t + 6 represents an object projected into the air from a cannon. The maximum height reached by the object is 150 feet.

After how many seconds does the object reach its maximum height?

2 seconds
3 seconds
6 seconds
9 seconds

Answer 1

To find the vertex time for h(t) = -16t^2 + 96t + 6, use t = -b/(2a) with a = -16, b = 96:

t = -96 / (2⋅-16) = -96 / -32 = 3 seconds.

Answer: 3 seconds.