Question
What was the hiker's average velocity during part B of the hike?
Responses
6 km/h south
6 km/h south
0.6 km/h north
0.6 km/h north
10 km/h southeast
10 km/h southeast
0.17 km/h south
0.17 km/h south
Table of four columns and five rows with title Hiking Table showing first column heading Distance and four cells below it with text four kilometers east, six kilometers south, four kilometers west, and six kilometers north, second column heading Part of Hike and four cells below it with text A, B, C, and D, third column heading Start Time and four cells below it with text nine a m, nine forty-five a m, ten forty-five a m, and eleven fifteen a m, and fourth column heading Ending time and four cells below it with text nine forty-five a m, ten forty-five a m, elven fifteen a m and twelve p m
Responses
6 km/h south
6 km/h south
0.6 km/h north
0.6 km/h north
10 km/h southeast
10 km/h southeast
0.17 km/h south
0.17 km/h south
Table of four columns and five rows with title Hiking Table showing first column heading Distance and four cells below it with text four kilometers east, six kilometers south, four kilometers west, and six kilometers north, second column heading Part of Hike and four cells below it with text A, B, C, and D, third column heading Start Time and four cells below it with text nine a m, nine forty-five a m, ten forty-five a m, and eleven fifteen a m, and fourth column heading Ending time and four cells below it with text nine forty-five a m, ten forty-five a m, elven fifteen a m and twelve p m
Answers
GPT-4o mini
To find the hiker's average velocity during part B of the hike, we need to determine the distance traveled and the time taken for that segment.
According to the table you provided:
- **Part of Hike B:** The distance is **6 km south**.
- **Start Time for Part B:** **9:45 AM**
- **Ending Time for Part B:** **10:45 AM**
Now, let's calculate the time taken for Part B:
Time taken for Part B = Ending Time - Start Time = 10:45 AM - 9:45 AM = 1 hour.
Next, we can calculate the average velocity using the formula:
\[
\text{Average Velocity} = \frac{\text{Total Displacement}}{\text{Total Time}}
\]
In this case, the total displacement (which is the distance in the direction of travel) is 6 km south and the total time is 1 hour.
\[
\text{Average Velocity} = \frac{6 \text{ km south}}{1 \text{ hour}} = 6 \text{ km/h south}
\]
Thus, the hiker's average velocity during part B of the hike is **6 km/h south**.
According to the table you provided:
- **Part of Hike B:** The distance is **6 km south**.
- **Start Time for Part B:** **9:45 AM**
- **Ending Time for Part B:** **10:45 AM**
Now, let's calculate the time taken for Part B:
Time taken for Part B = Ending Time - Start Time = 10:45 AM - 9:45 AM = 1 hour.
Next, we can calculate the average velocity using the formula:
\[
\text{Average Velocity} = \frac{\text{Total Displacement}}{\text{Total Time}}
\]
In this case, the total displacement (which is the distance in the direction of travel) is 6 km south and the total time is 1 hour.
\[
\text{Average Velocity} = \frac{6 \text{ km south}}{1 \text{ hour}} = 6 \text{ km/h south}
\]
Thus, the hiker's average velocity during part B of the hike is **6 km/h south**.