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If you run 60 meters toward the north in 15 seconds, what is the magnitude and direction of your velocity?

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To determine the magnitude and direction of your velocity when you run 60 meters north in 15 seconds, let's follow these steps:

1. Identify the distance traveled and the time taken:
- Distance traveled: 60 meters
- Time taken: 15 seconds

2. Understand the formula for velocity:
Velocity is defined as the rate at which an object changes its position. The formula to calculate velocity is:
[tex]\[ \text{Velocity} = \frac{\text{Distance}}{\text{Time}} \][/tex]

3. Calculate the magnitude of the velocity:
- Using the given values:
[tex]\[ \text{Velocity magnitude} = \frac{60 \text{ meters}}{15 \text{ seconds}} \][/tex]
- Perform the division:
[tex]\[ \text{Velocity magnitude} = 4.0 \text{ meters per second} \][/tex]

4. Determine the direction of the velocity:
- The direction given in the problem is towards the north.

So, your velocity is characterized by both magnitude and direction. The final answer is:
- Magnitude: 4.0 meters per second
- Direction: North
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