Speed = Distance/Time: Explained

  • Context: High School 
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SUMMARY

The formula for average speed is defined as v = d/t, where v represents speed, d represents distance, and t represents time. This equation is not interchangeable with v = d*t, as the latter does not accurately represent the relationship between these variables. Speed is measured in units such as meters per second (m/s) or miles per hour (mph), emphasizing the importance of understanding the mathematical representation of these terms.

PREREQUISITES
  • Understanding of basic physics concepts, specifically motion.
  • Familiarity with mathematical operations involving division and multiplication.
  • Knowledge of units of measurement for speed, such as meters per second and miles per hour.
  • Ability to translate everyday language into mathematical expressions.
NEXT STEPS
  • Research the concept of average speed and its applications in physics.
  • Learn about different units of speed measurement and conversion techniques.
  • Explore the relationship between distance, speed, and time in various real-world scenarios.
  • Study the implications of speed in kinematics and its relevance in engineering contexts.
USEFUL FOR

Students studying physics, educators teaching motion concepts, and anyone interested in understanding the mathematical principles behind speed and distance calculations.

usernameee
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Why dose v = d/t ?
 
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usernameee said:
Why dose v = d/t ?
Did you have some specific problem in mind?

Average speed, by definition, equals distance/time.
 
so, it could be also: v = d*t ?
 
usernameee said:
so, it could be also: v = d*t ?
No. Those are not equivalent at all.

Think how speed would be measured: meters per second, m/s, for example.
 
why did you replace per with / ... ?
 
Last edited:
usernameee said:
why did you replace per with / ... ?
That's what it means. I just translated everyday language into the more precise mathematical language.

If your speed is 60 miles per hour, you can write that as 60 miles/hour.
 
I got it... Thanks!
 

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