Question

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

Answer 1

Answer:

Option C

Step-by-step 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:

$\frac{h(5)-h(3)}{5-3}$

$\frac{204-108}{2}=-48$

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.