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

Question

In a time of t seconds, a particle moves a distance of s meters from its starting point, where s = 4t³.

(a) Find the average velocity between t = 0 and t = 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 = 0.