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?

A. 2 seconds

B. 3 seconds

C. 6 seconds

D. 9 seconds

Question

Makayla

9 March, 03:01

+1

Answers (1)

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Tucker · Answer 1

H (t) = - 16t^2 + 96t + 6

150 = - 16t^2 + 96t + 6

16t^2 - 96t + 144 = 0

t^2 - 6t + 9 = 0

(t - 3) ^2 = 0

t - 3 = 0

t = 3 seconds

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?A. 2 secondsB. 3 secondsC. 6 secondsD. 9 seconds