To determine which interval had the fastest average speed, we need to analyze the distance traveled over the time intervals provided. The average speed can be calculated using the formula:
\[ \text{Average Speed} = \frac{\text{Distance}}{\text{Time}} \]
Now, let's evaluate each interval:
-
Interval [0, 4]:
- Calculate the distance traveled from time 0 to 4.
- Let’s say the distance at time 0 is \(d_0\) and at time 4 is \(d_4\).
- Distance = \(d_4 - d_0\)
- Time = 4 - 0 = 4
- Average Speed = \(\frac{d_4 - d_0}{4}\)
-
Interval [4, 7]:
- Distance from time 4 to 7: \(d_7 - d_4\)
- Time = 7 - 4 = 3
- Average Speed = \(\frac{d_7 - d_4}{3}\)
-
Interval [7, 9]:
- Distance from time 7 to 9: \(d_9 - d_7\)
- Time = 9 - 7 = 2
- Average Speed = \(\frac{d_9 - d_7}{2}\)
-
Interval [9, 12]:
- Distance from time 9 to 12: \(d_{12} - d_9\)
- Time = 12 - 9 = 3
- Average Speed = \(\frac{d_{12} - d_9}{3}\)
To determine which interval had the highest average speed, you need the specific distances traveled from the data in your table.
- Compare the average speeds calculated for the above intervals.
- The interval with the highest average speed corresponds to the fastest speed.
If you provide the actual distance values from the cumulative distance chart in your table, I can assist you in making these calculations.