?Calculating average and instantaneous velocities Suppose the heights of an object (in
Chapter 7, Problem 219(choose chapter or problem)
Calculating average and instantaneous velocities Suppose the heights of an object (in m) above the ground after t seconds is approximated by the function \(s=f(t)=-4.9 t^{2}+25 t+1\).
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 s.
c. Use limits to verify your estimate in part (b).
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