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?

Question

Both Ellen’s speed and velocity during the trip
Ellen’s speed during the trip
Ellen’s velocity during the trip
There is not enough information to determine either Ellen’s speed or velocity during the trip

Answer 1

From the information provided, we can determine both Ellen's speed and her velocity during the trip.

1. Speed: Speed is a measure of distance traveled over time, regardless of direction. Ellen rides 2 miles in 10 minutes. We can calculate her speed as follows:

   \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{2 \text{ miles}}{10 \text{ minutes}} = 0.2 \text{ miles per minute}. \]

   We can convert this to miles per hour if needed, but we have her speed in miles per minute.

2. Velocity: Velocity considers the direction of travel. Since Ellen rides north 2 miles, her velocity can also be expressed, combining the speed with the direction:

   \[ \text{Velocity} = 0.2 \text{ miles per minute north}. \]

Therefore, the correct conclusion is that both Ellen’s speed and velocity during the trip can be determined from this information.