The following table gives the position s(t) of an object moving along a line at time t.

Question:

The following table gives the position s(t) of an object moving along a line at time t. Determine the average velocities over the time intervals [1, 1.01], [1, 1.001], and [1, 1.0001]. Then make a conjecture about the value of the instantaneous velocity at t = 1.

1.001 1.0001 1 1.01 64 s(t) 64.00479984 64.047984 64.4784