Mathematics

Problem

The position of a particle is given by

x(t)=t^{3}-6t^{2}+9t+5

(SI units). Between

t=0\,\text{s}

and

t=3\,\text{s}

, at which one of the following instants does the instantaneous velocity equal the average velocity over the entire interval? a)

2.0\,\text{s}

1.0\,\text{s}

1.5\,\text{s}

0.5\,\text{s}