The position of a particle is s(t)= cases 2t^ 3 & 0 t 4 64+12(t-4) & t>4 cases

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The position of a particle is

s(t)=\begin{cases}2t^{3} & 0\le t\le 4\\ 64+12(t-4) & t>4\end{cases}.

Find the instantaneous velocity

v(4.5)