Marissa is skateboarding on a straight stretch of sidewalk. In 3.0minutes, she travels 486meters. What is the magnitude of her velocity during this stretch?

2.7 m/s

8.1m/s

162m/s

0.37m/s

1 answer

To find the magnitude of Marissa's velocity, we can use the formula for velocity:

\[ \text{velocity} = \frac{\text{distance}}{\text{time}} \]

In this case, the distance she travels is 486 meters, and the time taken is 3.0 minutes. We first need to convert the time from minutes to seconds, since the standard unit for time in physics is seconds.

1 minute = 60 seconds, so:

\[ 3.0 \text{ minutes} = 3.0 \times 60 = 180 \text{ seconds} \]

Now we can plug the values into the velocity formula:

\[ \text{velocity} = \frac{486 \text{ meters}}{180 \text{ seconds}} = 2.7 \text{ m/s} \]

Thus, the magnitude of her velocity during this stretch is:

\[ \boxed{2.7 \text{ m/s}} \]