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Select the correct locations on the table.

The table shows the changes in velocity for several different cars. Each change takes place over a 10-second interval. Which cars are either speeding up or slowing down?

\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 :

GinnyAnswer
To determine which cars are either speeding up or slowing down based on the changes in their velocities, we should compare the starting and ending velocities for each car.

Let's analyze each car one by one:

1. Car A:
- Starting Velocity: [tex]\(30 \text{ km/h}\)[/tex]
- Ending Velocity: [tex]\(30 \text{ km/h}\)[/tex]
- Since the starting and ending velocities are the same, 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]
- The ending velocity is greater than the starting velocity, which means Car B is speeding up.

3. Car C:
- Starting Velocity: [tex]\(30 \text{ km/h}\)[/tex]
- Ending Velocity: [tex]\(0 \text{ km/h}\)[/tex]
- The ending velocity is less than the starting velocity, indicating that Car C is slowing down.

4. Car D:
- Starting Velocity: [tex]\(0 \text{ km/h}\)[/tex]
- Ending Velocity: [tex]\(0 \text{ km/h}\)[/tex]
- Both starting and ending velocities are the same, so 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]
- Since the ending velocity is greater than the starting velocity, Car E is speeding up.

Based on this analysis, the cars that are either speeding up or slowing down are:

- Speeding Up: Car B, Car E
- Slowing Down: Car C

Therefore, the correct locations in the table indicate that:
- Car B is speeding up.
- Car C is slowing down.
- Car E is speeding up.

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