Select the cars that are either speeding up or slowing down.

The table shows the changes in velocity for several different cars. Each change takes place over a 10-second interval.

\begin{tabular}{|c|c|c|}
\hline
& Starting Velocity & Ending Velocity \\
\hline
Car A & [tex]$30 \, \text{km/h}$[/tex] & [tex]$30 \, \text{km/h}$[/tex] \\
\hline
Car B & [tex]$0 \, \text{km/h}$[/tex] & [tex]$20 \, \text{km/h}$[/tex] \\
\hline
Car C & [tex]$30 \, \text{km/h}$[/tex] & [tex]$0 \, \text{km/h}$[/tex] \\
\hline
Car D & [tex]$0 \, \text{km/h}$[/tex] & [tex]$0 \, \text{km/h}$[/tex] \\
\hline
Car E & [tex]$20 \, \text{km/h}$[/tex] & [tex]$30 \, \text{km/h}$[/tex] \\
\hline
\end{tabular}



Answer :

To determine which cars are either speeding up or slowing down, we need to compare the starting and ending velocities for each car.

1. Car A:
- Starting Velocity: [tex]\(30 \, \text{km/h}\)[/tex]
- Ending Velocity: [tex]\(30 \, \text{km/h}\)[/tex]
- Change in velocity: [tex]\(30 - 30 = 0 \, \text{km/h}\)[/tex]
- Conclusion: Car A is neither speeding up nor slowing down.

2. Car B:
- Starting Velocity: [tex]\(0 \, \text{km/h}\)[/tex]
- Ending Velocity: [tex]\(20 \, \text{km/h}\)[/tex]
- Change in velocity: [tex]\(20 - 0 = 20 \, \text{km/h}\)[/tex]
- Conclusion: Car B is speeding up.

3. Car C:
- Starting Velocity: [tex]\(30 \, \text{km/h}\)[/tex]
- Ending Velocity: [tex]\(0 \, \text{km/h}\)[/tex]
- Change in velocity: [tex]\(0 - 30 = -30 \, \text{km/h}\)[/tex]
- Conclusion: Car C is slowing down.

4. Car D:
- Starting Velocity: [tex]\(0 \, \text{km/h}\)[/tex]
- Ending Velocity: [tex]\(0 \, \text{km/h}\)[/tex]
- Change in velocity: [tex]\(0 - 0 = 0 \, \text{km/h}\)[/tex]
- Conclusion: Car D is neither speeding up nor slowing down.

5. Car E:
- Starting Velocity: [tex]\(20 \, \text{km/h}\)[/tex]
- Ending Velocity: [tex]\(30 \, \text{km/h}\)[/tex]
- Change in velocity: [tex]\(30 - 20 = 10 \, \text{km/h}\)[/tex]
- Conclusion: Car E is speeding up.

From the above analysis, we can conclude that:

- Car B is speeding up.
- Car C is slowing down.
- Car E is speeding up.

Therefore, the cars that are either speeding up or slowing down are: Car B, Car C, and Car E.