Answer
(a) $v(0)=0$
b) The object has velocity zero at $t=0$ and at $t=2$.
c) $v(3)$ represents the velocity of the object at time $t=3$. Its units are $\mathrm{ft} / \mathrm{sec}$
Work Step by Step
(a) Substituting $t=0$ gives $v(0)=0^2-2(0)=0-0=0$.
(b) To find when the object has velocity equal to zero, we solve the equation
$$
\begin{aligned}
t^2-2 t & =0 \\
t(t-2) & =0 \\
t & =0 \quad \text { or } \quad t=2 .
\end{aligned}
$$
Thus the object has velocity zero at $t=0$ and at $t=2$.
(c) The quantity $v(3)$ represents the velocity of the object at time $t=3$. Its units are $\mathrm{ft} / \mathrm{sec}$.
