h(t)=-4.9t? +6.5t+ 10
The derivative of height h with respect to time t represents the relationship between speed v and time:
∴v=h′(t)=-9.8t+6.5
The derivative of the required speed v with respect to time t is acceleration:
a = V′(t)=-9.8
Physically expressed as uniform acceleration,
Is the second derivative of distance with respect to time.