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9 July, 04:23

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

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Answers (1)
  1. 9 July, 07:35
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    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
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