Question

use the graph of distance versus time to complete the sentences. the cars on the higher track travel the cars on the lower track, in the same time. this means that the cars on the higher track have a average speed than those on the lower track. this is demonstrated by the of the higher track line being greater than the slope of the lower track line.

Explanation:

Step1: Analyze distance traveled

For the same time (e.g., at time \( t = 2 \) s), the distance of the higher track car is greater than the lower track car. So the cars on the higher track travel farther than the cars on the lower track in the same time.

Step2: Relate distance and speed

Speed is calculated as \( \text{speed} = \frac{\text{distance}}{\text{time}} \). Since time is the same and distance is greater for the higher track, the average speed of higher track cars is greater than lower track.

Step3: Connect to slope

In a distance - time graph, the slope of the line is \( \text{slope}=\frac{\text{change in distance}}{\text{change in time}} \), which is equal to speed. So the slope of the higher track line is greater, demonstrating the speed difference.

Answer:

1. farther than
2. greater
3. slope