




A car moves so that
at time t_{1} = 3s, its position p(t_{1}) satisfies p(t_{1}) = 6 yards from origin.
at time t_{2} = 8s, p(t_{2}) = 16 yards from origin.
Average velocity between t_{1 }and t_{2} = = 2 yards / s
The velocity at time t_{1} is the average velocity between time t_{1} and t, with t very close to t_{1}. How close? So close that the result doesn't depend on t.
Velocity at time t_{1} =