In a time of t seconds, a particle moves a distance of s meters from its starting

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In a time of t seconds, a particle moves a distance of s meters from its starting point, where s = 4t2 + 3.

(a) Find the average velocity between t = 1 and t = 1 + ℎ if:
(i) ℎ = 0.1, 

(ii) ℎ = 0.01, 

(iii) ℎ = 0.001.

(b) Use your answers to part (a) to estimate the instantaneous velocity of the particle at time t = 1.

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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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