A particle moves along a straight line with velocity

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

v(t)=t^{3}-6t^{2}+9t+4\;\text{m\,s}^{-1}

. Find the magnitude of the difference between (i) its instantaneous acceleration at

t=2\,\text{s}

and (ii) its average acceleration between

t=0

and

t=2\,\text{s}

. (a)

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

(b)

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

(c)

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

(d)

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