Consider the position function s(t) = -16t² + 100t. Complete the following table with the appropriate average velocities. Then make a conjecture about the value of the instantaneous velocity at t = 3.

Time interval               Average velocity
[2, 3]............................
[2.9, 3].........................
[2.99, 3].......................
[2.999, 3].....................
[2.9999, 3]...................