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22 January, 12:49

The function h (t) = - 16t ^ 2 + 32t + 24 represents the height of an object t seconds after being launched straight into the air. What does - 16 represent?

A) initial velocity

B) time until the object hits c) the ground maximum height

D) acceleration due to gravity

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  1. 22 January, 15:15
    0
    D

    Step-by-step explanation:

    When we differentiate the function, we get - 32x + 32, which is the velocity function of the original.

    When we differentiate again, we get - 32, which is derived from the initial - 16. This - 32 represents the acceleration, because it is the 2nd derivative.

    Hence, the answer is D, acceleration due to gravity.
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