Velocity divided by Acceleration gives distance?

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SUMMARY

The discussion clarifies the misconception that dividing velocity by acceleration yields distance. Velocity is expressed in meters per second (m/s), while acceleration is in meters per second squared (m/s²). The correct interpretation is that distance (s) is derived from the kinematic equations, specifically using the formula s = vt or s = ut + 1/2 at². The confusion arises from mixing units with symbols, where 's' represents distance in meters, not seconds.

PREREQUISITES
  • Understanding of basic physics concepts, particularly kinematics.
  • Familiarity with units of measurement in physics (meters, seconds).
  • Knowledge of the kinematic equations (SUVAT equations).
  • Ability to differentiate between symbols and their corresponding units.
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  • Study the kinematic equations in detail, focusing on their applications in solving motion problems.
  • Learn how to derive distance using the formula s = ut + 1/2 at².
  • Explore the relationship between velocity, time, and distance through practical examples.
  • Review common misconceptions in physics related to units and symbols.
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Students studying physics, educators teaching kinematics, and anyone interested in understanding the principles of motion and the correct application of related formulas.

Mongster
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See I figured that since Velocity = m/s
Acceleration = m/s^2

If I have velocity divided by Acceleration
----> m/s ÷ m/s^2 = s
Relevant equations

Velocity --> s/t
Acceleration --> (v-u)/t
The attempt at a solution
My idea seems reasonable to me but somehow I couldn't apply this logic to related questions. Based on my understanding, velocity divided by acceleration gives distance as 's' but it don't seems applicable when I attempted questions with this approach.
 
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Mongster said:
. Based on my understanding, velocity divided by acceleration gives distance as 's' .

No it doesn't. You're mixing symbols with units, s is short for seconds. eg velocity is metres per second (m/s)
In the kinematic equations (SUVAT) 's' is used to represent distance (which has units of metres)

s is distance in metres (m)
u is initial velocity in metres per second (m/s)
v is final velocity in metres per second (m/s)
a is acceleration in metres per second squared (m/s2)
t is time in seconds (s)
 
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Oh wait... I see the mistake now oh my, hahaha! It is really stupid... *cringing*
But thanks a lot for the detailed explanation there, appreciate it really!

Cheers!
 
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Mongster said:
See I figured that since Velocity = m/s
Acceleration = m/s^2

If I have velocity divided by Acceleration
----> m/s ÷ m/s^2 = s
Relevant equations

Velocity --> s/t
Acceleration --> (v-u)/t
The attempt at a solution
My idea seems reasonable to me but somehow I couldn't apply this logic to related questions. Based on my understanding, velocity divided by acceleration gives distance as 's' but it don't seems applicable when I attempted questions with this approach.
That's only because the masses (m) canceled out. :rolleyes: o_O :confused:
 
Yes. s is correct. How long it takes to reach the velocity. "Long" being the "distance". It is something like a period vs frequency.

Don't confuse velocity x time = distance.
 
Dumisa Ngwenya said:
Yes. s is correct. How long it takes to reach the velocity. "Long" being the "distance". It is something like a period vs frequency.

Don't confuse velocity x time = distance.
Ummmm... What? How long it takes to reach the velocity... from what starting point?

Mongster even admitted that they confused the s (distance) with the unit s (seconds.) The problem was already solved 7 years ago, no need to add to it.

-Dan
 
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