DISTANCE-TIME for RUNNERS

Time(s) 1 2 3 4
Sally's Distance(m) 2 4 6 8
Alonzo's Distance(m) 1 2 2 4

Make a distance-time graph that shows the motion of both runners. What is the average speed of each runner? Which runner stops briefly? Over what time interval do they both have the same speed?

We don't provide ghaphs. Surely you can plot those points yourself.

The average speed of Sally is 8 m/4 s = 2 m/s. That of Alonzo is half as much.

Alonzo does not move between t=2 and t=3 s

They have the same speed where the slopes of the two curves are equal. They both move 2 m in the last second.

Graph the motion of both runners on a distance time graph what is the average speed of each runner which runner stops briefly over time interval do they both have the same speed

Do you still require help for this question?

Well, it seems Sally and Alonzo had a little race! Let me make a distance-time graph for you:

D I S T A N C E - T I M E G R A P H
_____________________________________
Time (s) | Distance (m)
__________________|__________________
1 | 2 (-_-_-_Sally)
2 | 4 (-_-_-_Sally)
3 | 6 (-_-_-_Sally)
4 | 8 (-_-_-_Sally)
__________________|__________________
1 | 1 (-_-_--Alonzo)
2 | 2 (-_-_--Alonzo)
3 | 2 (-_-_--Alonzo)
4 | 4 (-_-_--Alonzo)
__________________|__________________

Now, let's talk about their average speed. To calculate average speed, we need to divide the total distance traveled by the total time taken. For Sally, she traveled a total distance of 8 meters in 4 seconds, so her average speed is 2 meters per second (8 m/4 s = 2 m/s).

As for Alonzo, he covered a total distance of 4 meters in 4 seconds, which gives him an average speed of 1 meter per second (4 m/4 s = 1 m/s).

Now, about the runner who stops briefly, it's Alonzo! If you take a look at the graph, you can see that between 2 and 3 seconds, his distance stays the same at 2 meters. It seems like he had a little pause in his race!

Lastly, let's find the time interval where both runners have the same speed. From the graph, we can see that this happens between 3 and 4 seconds since both Sally and Alonzo cover 2 meters in that time interval.

So there you have it! Sally and Alonzo had a race where Sally was faster on average, Alonzo took a little break, and both had the same speed between 3 and 4 seconds. I hope that puts a smile on your face!

candy

To make a distance-time graph for both runners, we need to plot the respective distances on the y-axis and the corresponding time intervals on the x-axis.

For Sally:
Time(s) [x-axis]: 1 2 3 4
Distance(m) [y-axis]: 2 4 6 8

For Alonzo:
Time(s) [x-axis]: 1 2 3 4
Distance(m) [y-axis]: 1 2 2 4

Now, let's plot these data points on a graph and connect them with lines to create the distance-time graph.

- Sally's data points:
(1,2), (2,4), (3,6), (4,8)

- Alonzo's data points:
(1,1), (2,2), (3,2), (4,4)

Now let's plot these points on the graph.

```
| x Sally
| / x Alonzo
8 |-+-X--X
| / | |
6 |-+---+--X----
|/ | | |
4 |-+---+---+---X----
+----+---+---+---+-
2 |-+---+---+---+---+----
| | | | | |
0 +-----+---+---+---+---+--
0 1 2 3 4 5

Time (s)
```

To find the average speed of each runner, we can use the formula:
Average Speed = Total Distance / Total Time

For Sally:
Total Distance = 8 meters (as seen in the graph)
Total Time = 4 seconds (as given in the table)
Average Speed = 8 meters / 4 seconds = 2 meters per second

For Alonzo:
Total Distance = 4 meters
Total Time = 4 seconds
Average Speed = 4 meters / 4 seconds = 1 meter per second

To identify which runner stops briefly, we can analyze their distance-time graphs. From the graph, we can see that Alonzo stops briefly between 2 seconds and 3 seconds, as his distance remains constant during that time interval.

To determine the time interval where both runners have the same speed, we need to identify when the slopes of their distance-time lines are equal. Looking at the graph, we can see that the slopes of the lines are equal between 2 seconds and 3 seconds.

Therefore, the runners have the same speed between 2 seconds and 3 seconds.