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

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Homework Help Overview

The problem involves calculating the average velocity of a cyclist who travels a distance of 26.7 km in a time span of 54 minutes and 16 seconds. The subject area pertains to kinematics and the concept of average velocity.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to convert units from kilometers to meters and minutes to seconds. Questions are raised about the definition of average velocity and how to apply the given information to find the solution.

Discussion Status

Participants are actively engaging with the problem, exploring unit conversions and the definition of average velocity. Guidance has been offered regarding the use of conversion factors and dimensional analysis, indicating a productive direction in the discussion.

Contextual Notes

There is an emphasis on ensuring proper unit conversion to achieve the desired result in meters per second. The original poster expresses a need for assistance, indicating they are new to the subject.

nerdemcee
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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?

Homework Equations


The Attempt at a Solution

 
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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 :)
 

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