Mathematics

Problem

For a particle moving in a straight line the velocity as a function of time is given by

v(t) = 3t^{2} - 6t + 2 \; \text{(SI units)}.

Answer the following: a. (i) Obtain an expression for the instantaneous acceleration

a(t)

. b. (ii) Find the instantaneous acceleration at

t = 4\,\text{s}

. c. (iii) Calculate the average acceleration between

t = 4\,\text{s}

and

t = 6\,\text{s}

. d. (iv) From your results comment whether the motion is uniformly accelerated or not, giving reason.