Speed is distance multiplied by time -- Is this correct?

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Discussion Overview

This discussion revolves around the relationship between speed, distance, and time, specifically questioning the correctness of the statement "speed is distance multiplied by time." Participants explore calculations related to the speed of a punch based on a study, examining the implications of constant versus variable speed.

Discussion Character

  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant presents a study indicating a punch travels 0.49 meters in 0.1 seconds, leading to a calculated speed of 8.9 meters per second, which they find inconsistent with an online calculator that gives 4.9 meters per second.
  • Another participant asserts that speed is defined as distance divided by time, clarifying that the calculation of 4.9 meters per second is correct under the assumption of constant speed.
  • Some participants acknowledge that the calculated speed of 4.9 meters per second represents average velocity and is contingent on the speed being constant.
  • There is a suggestion that if the distance were 1 meter and the time 0.3 seconds, the speed would likely exceed 3.3 meters per second, with some participants agreeing with this assumption.

Areas of Agreement / Disagreement

Participants generally agree that speed is calculated as distance divided by time, but there is contention regarding the implications of variable speed and the accuracy of the calculated values presented.

Contextual Notes

Participants discuss the distinction between average velocity and instantaneous speed, highlighting that the calculations depend on the assumption of constant speed, which may not apply in all scenarios.

Rev. Cheeseman
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TL;DR
Using an online converter, I get a different result
Hello,

In this study https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9784821/, the distance the punch travelled from start to impact is 0.49 meters and the time taken from start of punch (that's it, they define the start of punch as the moment the elbow first start to extend) to impact is 0.1 second. The velocity of the fist at impact is 8.9 meter per second. I use an online speed, time and distance calculator I got 4.9 meter per second. Why is that? Thank you.
 
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Speed is certainly not equal to distance times time, obviously you meant distance divided by time. But this is true only for constant speed, and in the case you consider the speed is not constant. That's why 4.9 meter per second is wrong.
 
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Rev. Cheeseman said:
The velocity of the fist at impact is 8.9 meter per second. I use an online speed, time and distance calculator I got 4.9 meter per second. Why is that?
Because speed = distance / time, and 0.49 divided by 0.1 is 4.9.
Note that the units themselves tell you this: meters per second. Meters/seconds. Distance over time.

How you calculated 8.9 meters per second I cannot say. If you multiplied instead of dividing you would come up with 0.049, not 8.9.
 
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Demystifier said:
Speed is certainly not equal to distance times time, obviously you meant distance divided by time. But this is true only for constant speed, and in the case you consider the speed is not constant. That's why 4.9 meter per second is wrong.
Oh I'm sorry for the mistake, yes it should be distance divided by time. Thus, 4.9 meter per second is more like average velocity and it will be 4.9 meter per second only if the speed or velocity is constant? Sorry, my English is not really good.
 
Drakkith said:
Because speed = distance / time, and 0.49 divided by 0.1 is 4.9.
Note that the units themselves tell you this: meters per second. Meters/seconds. Distance over time.

How you calculated 8.9 meters per second I cannot say. If you multiplied instead of dividing you would come up with 0.049, not 8.9.

Sorry it is actually distance divided by time.

The velocity should be 4.9 meter per second if we divided 0.49 meter with 0.1 second, but in the study in the link given the actual speed is 8.9 meter per second which means the distance should be 0.89 meter.
 
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Rev. Cheeseman said:
Thus, 4.9 meter per second is more like average velocity and it will be 4.9 meter per second only if the speed or velocity is constant?
Yes, exactly!
 
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Demystifier said:
Yes, exactly!
Thank you so much.
 
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Demystifier said:
Yes, exactly!
I'm sorry, one more thing. Therefore, assuming if the distance from the start of a punch to the impact pad is 1 meter and the time taken for the punch to reach the impact pad is 0.3 second. The real velocity of the punch will be likely to exceed 3.3 meter per second too?
 
Rev. Cheeseman said:
I'm sorry, one more thing. Therefore, assuming if the distance from the start of a punch to the impact pad is 1 meter and the time taken for the punch to reach the impact pad is 0.3 second. The real velocity of the punch will be likely to exceed 3.3 meter per second too?
Yes, of course.
 
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  • #10
Demystifier said:
Yes, of course.
Thank you.
 
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