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

Chapter 0, Problem 8

(choose chapter or problem)

In a time of t seconds, a particle moves a distance of s meters from its starting point, where \(s=3 t^{2}\).

(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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