Problem

Calculating average and instantaneous velocities Suppose the height s of an object (in m)...

Calculating average and instantaneous velocities Suppose the height s of an object (in m) above the ground after t seconds is approximated by the function s = −4.9t2 + 25t + 1.

a. Make a table showing the average velocities of the object from time t = 1 to t = 1 + h, for h = 0.01, 0.001, 0.0001, and 0.00001.

b. Use the table in part (a) to estimate the instantaneous velocity of the object at t = 1.

c. Use limits to verify your estimate in part (b).

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