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)

Question

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

Ellen’s speed during the trip
Ellen’s speed during the trip

Both Ellen’s speed and velocity during the trip
Both Ellen’s speed and velocity during the trip

Ellen’s velocity during the trip

Answer 1

To analyze the provided information, we need to understand the concepts of speed and velocity:

1. Speed is a scalar quantity that refers to how fast something is moving. It is calculated as the total distance traveled divided by the total time taken.

2. Velocity is a vector quantity that refers to the rate at which an object changes its position. It includes both the speed and the direction of the movement. Velocity is also calculated as displacement (change in position) divided by the time taken.

In the given scenario:

• Ellen rides her bike 2 miles north.
• The time taken is 10 minutes.

From this information, we can calculate:

• Speed: $$\text{Speed}=\frac{\text{Distance}}{\text{Time}}=\frac{2\text{ miles}}{10\text{ minutes}}=0.2\text{ miles per minute}$$

• Velocity: Since Ellen moved in a specific direction (north), we can also determine her velocity. $$\text{Velocity}=\frac{\text{Displacement}}{\text{Time}}=\frac{2\text{ miles north}}{10\text{ minutes}}=0.2\text{ miles per minute north}$$

Thus, we have enough information to determine both Ellen's speed and her velocity during the trip.

Therefore, the correct response is:

Both Ellen’s speed and velocity during the trip.