\documentclass{exam}[12pt]

\usepackage{amsfonts,amsmath}

\boxedpoints

\addpoints
\pointsinmargin

\begin{document}
\pagestyle{head}

\firstpageheader{\large Calculus I}{\bf\Large Falling Bodies}{\large Name:\hspace{1in} }
%\extraheadheight{.7in}
%\extrafootheight{-1in} 
%\small{\textit{Work all questions completely.  Show all work.}}

\begin{questions}
\large{

\question As part of his new act, Gonzo launches himself from his cannon.
The cannon is mounted on the stage 10 ft above the ground and  Gonzo
reaches his maximum height 8 seconds after launch.

\begin{parts}
\part What is Gonzo's initial velocity?
\vspace{2in}

\part How long does it take Gonzo to hit the ground?
\vspace{2in}

\part What is Gonzo's velocity when he hits the ground?
\vspace{1.5in}
\end{parts}

\question A particle moves along the x-axis with position given by
$s(t)=t^3 -12 t^2 +45t$ feet, for $0\leq t \leq 7$.
\begin{parts}
\part Find the velocity and acceleration of the particle.
\vspace{1.5in}

\part When is the particle moving left? When is it moving right?
\vspace{1.5in}

\part Find the total distance traveled by the particle.
\vspace{2.5in}

\part When is the particle accelerating? When is it decelerating?
\vspace{1.5in}
\end{parts}

\begin{center}{\Large\textbf {Review}}\end{center}
%\vspace{.3in}

\question Find $y^\prime$ if $\displaystyle y= \frac{3-\sec x}{x+\ln x}$.
\vspace{.8in}

\question Find $\displaystyle \frac{d}{dz} z^3 \tan(z) + \sin(z)$.

} 
\end{questions}
\end{document}