The function h(t) = -1682 + 96 + 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

3 seconds

Step-by-step explanation:

The function is h(t) = -16t² + 96t + 6

When h=150 ft then the function is written as

150= -16t² + 96t + 6

Re-arranging like terms then

16t² - 96t - 6 +150=0

16t² - 96t + 144=0

Simplyfying the equation by dividing each part by 9 then

t² - 6t + 9=0

By factorization, two numbers whose product is 9 while sum is -6 are -3 and -3

(t-3)(t-3)=0

t=3

Therefore, time is 3 seconds