Question

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

Answer 1

D

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.