Solved: In a time of t seconds, a particle moves a distance of smeters from its starting

Chapter 2, Problem 10

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In a time of t seconds, a particle moves a distance of smeters from its starting point, where s = sin(2t).(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 instantaneousvelocity of the particle at time t = 1.

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