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
