A robotic arm's velocity v(t)v(t)v(t), in ms−1\text{ms}^{-1}ms−1, at time t t\,t seconds is modelled by the function
v(t)=(4t−3)(t+2)6t,t>0 v(t) = \frac{(4\sqrt{t} - 3)(t + 2)}{6\sqrt{t}}, \quad t > 0 v(t)=6t(4t−3)(t+2),t>0Determine the general expression for the displacement, s(t)s(t)s(t), of the robotic arm, giving each term in its simplest form.
