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