Question
Ellen rides her bike 2 miles north from her house to the park on a flat, straight road. It takes her 10 minutes to get there. What can be determined from this information?(1 point)
Responses
There is not enough information to determine either Ellen’s speed or velocity during the trip
There is not enough information to determine either Ellen’s speed or velocity during the trip
Both Ellen’s speed and velocity during the trip
Both Ellen’s speed and velocity during the trip
Ellen’s speed during the trip
Ellen’s speed during the trip
Ellen’s velocity during the trip
Responses
There is not enough information to determine either Ellen’s speed or velocity during the trip
There is not enough information to determine either Ellen’s speed or velocity during the trip
Both Ellen’s speed and velocity during the trip
Both Ellen’s speed and velocity during the trip
Ellen’s speed during the trip
Ellen’s speed during the trip
Ellen’s velocity during the trip
Answers
GPT-4o mini
The correct response is:
**Ellen’s speed during the trip**
From the information provided, we can calculate her speed. Speed is defined as the total distance traveled divided by the time it takes to travel that distance. In this case, Ellen traveled 2 miles in 10 minutes.
1. Convert 10 minutes to hours to calculate speed in miles per hour (mph):
- 10 minutes = 10/60 hours = 1/6 hours
2. Now, calculate the speed:
- Speed = Distance / Time = 2 miles / (1/6 hours) = 2 * 6 = 12 mph
So we can determine her speed is 12 mph.
However, we cannot determine her velocity (which has direction) with the information given, as it would depend on a reference point for direction (e.g., whether north is positive or negative, etc.). Therefore, while we can calculate her speed, we cannot determine her velocity directionally with the given information.
**Ellen’s speed during the trip**
From the information provided, we can calculate her speed. Speed is defined as the total distance traveled divided by the time it takes to travel that distance. In this case, Ellen traveled 2 miles in 10 minutes.
1. Convert 10 minutes to hours to calculate speed in miles per hour (mph):
- 10 minutes = 10/60 hours = 1/6 hours
2. Now, calculate the speed:
- Speed = Distance / Time = 2 miles / (1/6 hours) = 2 * 6 = 12 mph
So we can determine her speed is 12 mph.
However, we cannot determine her velocity (which has direction) with the information given, as it would depend on a reference point for direction (e.g., whether north is positive or negative, etc.). Therefore, while we can calculate her speed, we cannot determine her velocity directionally with the given information.