Mathematics

Problem

A particle moves along a straight line with an acceleration given by the function

a(t) = 3t^{2} - 2

(in

\text{m/s}^{2}

). If the particle has a velocity of

5\,\text{m/s}

t = 1\,\text{s}

, calculate its velocity at

t = 3\,\text{s}