The velocity of a particle moving in a straight line is given by

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

v(t)=4t^{2}-3t+2\;\text{m\,s}^{-1}

. Determine its instantaneous acceleration at

t = 3\,\text{s}

. (a)

24\,\text{m\,s}^{-2}

(b)

21\,\text{m\,s}^{-2}

(c)

39\,\text{m\,s}^{-2}

(d)

29\,\text{m\,s}^{-2}