Exercise 1.3.62

Question

An airplane is flying at a speed of $350\ \mathrm{mi} / \mathrm{h}$ at an altitude of one mile and passes directly over a radar station at time $t=0$.
    \begin{enumerate}[label=(\alph*)]
    \item Express the horizontal distance $d$ (in miles) that the plane has flown as a function of $t$.
    \item Express the distance $s$ between the plane and the radar station as a function of $d$.
    \item Use composition to express $s$ as a function of $t$.
    \end{enumerate}

Khagan Gulusoy · Accepted Answer

\begin{enumerate}[label=(\alph*)]
\item $$\forall t \in[0, m]: \quad d(t)=350 t,$$
where $m$ is the maximal time a plane can fly.

\item Since the airplane starts its Journey over the radar station, $S=d$. Thus, we define the function $s$ as follows: $$\forall d \in[0,350 \mathrm{~m}]: \quad s(d)=d.$$

\item $$\forall t \in[0, m]:\quad s\circ d(t)=350 t.$$

\end{enumerate}

Exercise 1.3.62

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Exercise 1.3.62

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