Question

Which of the following is true for the interval from 3-5 seconds

Answer 1

Option C

Explanation:

The given function is:
`h(t)=-16t^2+80t+108`.

`h(5)=-16(5)^2+80(5)+108=108`.

`h(3)=-16(3)^2+80(3)+108=204`.

The average rate of change of this function on the interval t=3 to t=5 is given by:

`(h(5)-h(3))/(5-3)`

`(204-108)/(2)=-48`

Since the average rate of change is negative on the interval 3-5 seconds, it means the ball is moving downwards at an average rate of 48 feet per second.

The correct choice is C.