In a time of t seconds a particle moves a distance of s

Question

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

(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.