Resources for Travel Graphs
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Travel Graphs Theory
![\textbf{Example}\\ Here is a distance-time graph for a car journey.\\ \textbf{i)} Calculate the speed of the car in the first 40 minutes.\\ \textbf{ii)} Calculate the speed of the car in the last 40 minutes.\\ \begin{center} \begin{tikzpicture}[ ] \def \domain{0:50} \def \xmax{110} \def \xmin{0} \def \ymax{110} \def \ymin{0} \def \xlabel{\text{ minutes}} \def \ylabel{\text{ km}} \begin{axis}[ axis y line=left, axis x line=bottom, axis line style={shorten >=-10pt, shorten <=-10pt,-Stealth,very thick}, grid=both, %major, major grid style={line width=1pt,draw=black!70}, ylabel = $\ylabel$, xlabel = $\xlabel$, width=2.5in, height=2.5in, ymin=\ymin, ymax=\ymax, xmin=\xmin, xmax=\xmax, minor x tick num=4, minor y tick num=4, axis line style = thick, major tick style = thick, minor tick style = thick, xtick distance = 2, xlabel style={below}, ytick distance = 2, ylabel style={above}, x grid style={thin, opacity=0.4}, y grid style={thin, opacity=0.4}, axis on top=false, xtick={0,20,40,...,100,120}, xticklabels={{},20,40,...,100,{}}, ytick={0,20,40,...,100,120}, yticklabels={{},20,40,...,100,{}}, extra x ticks={0}, extra x tick style={xticklabel style={anchor=north east}} ] %FUNCTION \draw [draw=black,thin, opacity=0.5] (\xmin,\ymin) rectangle (\xmax,\ymax); \draw [draw=black,thick] (0,0)--(40,40)--(60,40)--(100,100); \end{axis} \end{tikzpicture} \end{center} \textbf{Example solution}\\ \(\begin{aligned} \textbf{i) } & \begin{aligned}[t] 40 \text { minutes } & =\frac{40}{60} \text { hours } \\ & =\frac{2}{3} \text{ hr} . \end{aligned}\\ &\begin{aligned} \text { Speed } & =\frac{\text { Distance }}{\text { Time }} \quad\left(S=\frac{D}{T}\right) \\ S & =\frac{40}{\frac{2}{3}} \\ & =60 \text{~km} / \text{h} . \end{aligned} \end{aligned}\)\\ \textbf{ii) } \(\begin{aligned}[t] \text { speed } & =(100-40) \div \frac{2}{3} \\ & =60 \div \frac{2}{3} \\ & =90 \text{~km} / \text{h} . \end{aligned}\)](/media/yuldumwe/26366.png)
NSW Y8 Maths Time and Travel Travel Graphs
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Travel Graphs - Video - Travel Graphs
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