Answer:
Option C
Step-by-step explanation:
The given function is: [tex]h(t)=-16t^2+80t+108[/tex].
[tex]h(5)=-16(5)^2+80(5)+108=108[/tex].
[tex]h(3)=-16(3)^2+80(3)+108=204[/tex].
The average rate of change of this function on the interval t=3 to t=5 is given by:
[tex]\frac{h(5)-h(3)}{5-3}[/tex]
[tex]\frac{204-108}{2}=-48[/tex]
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.
