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Draw a distance-time graph for the journey described in ITEM 4.

Mathematics

ScanSolve AI Answer

Here is the distance-time graph illustrating the journey described in ITEM 4.

ITEM 4: Distance-Time Graph

The graph shows the distance covered over time, based on the following segments:

  • From (0,0)(0, 0) to (2,100)(2, 100): Driving at 50 kmh−150 \text{ kmh}^{-1}.
  • From (2,100)(2, 100) to (3,100)(3, 100): Resting for 1 hour.
  • From (3,100)(3, 100) to (4.5,170)(4.5, 170): Driving another 70 km70 \text{ km} in 1.5 hours.
\begin{tikzpicture} \begin{axis}[ xlabel={Time (hours)}, ylabel={Distance (km)}, xmin=0, xmax=5, ymin=0, ymax=180, xtick={0, 1, 2, 3, 4, 4.5, 5}, ytick={0, 50, 100, 150, 170}, grid=both, major grid style={gray!50}, axis lines=box, legend pos=north west ] \addplot[blue, thick, mark=*, samples=100] coordinates { (0, 0) (2, 100) (3, 100) (4.5, 170) }; \node[above right] at (axis cs:0.5,25) {Driving}; \node[above] at (axis cs:2.5,100) {Rest}; \node[above left] at (axis cs:3.75,135) {Driving}; \end{axis} \end{tikzpicture}
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