# A cyclist travels 26.7 km in 54 min 16 s. What is his average velocity in m/s?

• nerdemcee
In summary, the problem involves finding the average velocity of a cyclist who travels 26.7 km in 54 minutes and 16 seconds. This can be solved by using conversion factors to convert the given distance and time into meters and seconds, respectively. Then, the average velocity can be calculated by dividing the displacement by time.
nerdemcee
i am new to physics, so could anyone help me solve this problem thank you

## Homework Statement

A cyclist travels 26.7 km in 54 min 16 s. What is his average velocity in m/s?

## The Attempt at a Solution

Welcome to PF,

The two pieces of information you have been given are the distance traveled by the cyclist and the time it took him to do so. Can you think of how you might use the given information to calculate what the problem is asking for? As a starting point, what is the definition of average velocity?

average velocity = Displacement divided by time

so do i convert km into m and min into secs?

You need to use conversion factors and dimensional analysis.
1 km = 1000 m and 1 min = 60 s

Change these into a form so that the kms and mins cancel out when you multiply them with the average velocity, and then you will get the answer in m/s.

thank you :)

## 1. What is average velocity?

Average velocity is the measure of an object's displacement over a period of time. It is calculated by dividing the total displacement by the total time.

## 2. How is average velocity different from average speed?

Average velocity takes into account the direction of movement, while average speed only considers the magnitude of movement. This means that average velocity can be negative, indicating movement in the opposite direction, while average speed is always positive.

## 3. How do you convert km to m and minutes to seconds?

Kilometers (km) and meters (m) are units of length, while minutes (min) and seconds (s) are units of time. To convert km to m, multiply by 1000. To convert minutes to seconds, multiply by 60. In this case, the cyclist travels 26.7 km, which is equivalent to 26,700 m, and the time is 54 minutes and 16 seconds, which is equivalent to 3,256 seconds.

## 4. How do you calculate average velocity?

To calculate average velocity, divide the total displacement (change in position) by the total time. In this case, the cyclist travelled 26,700 m in 3,256 seconds, giving an average velocity of 8.2 m/s.

## 5. Can average velocity be negative?

Yes, average velocity can be negative if the object is moving in the opposite direction of the chosen positive direction. In this case, if the cyclist travelled 26,700 m east and then turned around and travelled 26,700 m west in the same amount of time, the average velocity would be 0 m/s, indicating no overall displacement.

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