\input epsf
\nopagenumbers
\magnification=\magstep1

\noindent {\bf Problem statement} An unidentified object moves along
the $s$-axis, with displacement $s=s(t)$ (meters), velocity $v=v(t)$
(m/sec) and acceleration $a=a(t)$ (m/sec$^2$). It so happens that the
velocity and displacement are related by the equation
$v=\sqrt{8s+16}$. Moreover, at the instant $t=0$, the object is
observed at $s=6$.  

\smallskip 

\noindent a) Show that $a$ is constant, and find its value.  

\smallskip 

\noindent b) Graph $v$ as a function of $s$.  

\smallskip

\noindent c) Graph $v$ as a function of $t$.

\vfil\eject\end