For Exercises 33–36, use the distance function s(t) = 16t2 discussed on page 159 and...

For Exercises 33–36, use the distance function s(t) = 16t² discussed on page 159 and in Example 6. Recall that this function relates the distance s(t) and the time t for a freely falling object (neglecting air resistance). The time t is measured in seconds, with t = 0 corresponding to the instant that the object begins to fall; the distance s(t) is in feet.

(b) Complete a table similar to the one shown in the solution of Example 6(b); for the h-values in the left-hand column use 0.1, 0.01, 0.001, 0.0001, and 0.00001.

(c) Looking at your results in part (b), answer the following question. As h approaches zero, what value does the average velocity in the right-hand column seem to be approaching? This target value or limit is the instantaneous (as opposed to average) velocity of the object when t = 2 sec.

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