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A car moves so that
at time t1 = 3s, its position p(t1) satisfies p(t1) = 6 yards from origin.
at time t2 = 8s, p(t2) = 16 yards from origin.
Average velocity between t1 and t2 = =
2 yards / s
The velocity at time t1 is the average velocity between time t1 and t, with t very close to t1. How close? So close that the result doesn't depend on t.
Velocity at time t1 =