The height, in feet, of a tomato, t seconds after it is dropped from a 200-ft balcony,
Question:
The height, in feet, of a tomato, t seconds after it is dropped from a 200-ft balcony, is s = f(t) = −16t2 + 200.
(a) Find the average velocity between t = 2 and t = 3.
(b) Find the average velocity between t = 2 and t = 2 + ℎ if:
(i) ℎ = 0.1,
(ii) ℎ = 0.01,
(iii) ℎ = 0.001.
(c) Use your answers to part (b) to estimate the instantaneous velocity at t = 2.
(d) What is f(2) and what is an estimated value for f'(2)?
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Step by Step Answer:
a The average velocity between t 2 and t 3 is given by b We use the average rate of change formula ...View the full answer
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Related Book For 
Applied Calculus
ISBN: 9781119275565
6th Edition
Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale
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