Rearranging acceleration formulas

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Homework Help Overview

The discussion revolves around rearranging acceleration formulas in the context of kinematics. The original poster presents a problem involving acceleration, final speed, initial speed, and time, seeking to find the initial speed based on given values.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between acceleration, final speed, initial speed, and time, with attempts to rearrange the formula for acceleration. Questions arise regarding the notation used for final and initial speeds, as well as dimensional correctness of the equations presented.

Discussion Status

Participants are actively engaging with the problem, clarifying the meanings of the symbols used and discussing the rearrangement of the acceleration formula. There is an acknowledgment of confusion regarding notation, but productive dialogue is occurring as participants seek to understand and clarify the concepts involved.

Contextual Notes

Some participants note that the notation used for final and initial speeds is unconventional, which may contribute to misunderstandings. There is also mention of dimensional correctness in the equations, indicating a need for careful consideration of units in the discussion.

lornf

Homework Statement


a=1.8m/s/s
v/sf=7.6m/s
u/si=?
t=2.5s

Find the initial speed[/B]

Homework Equations


a=v-u/t

The Attempt at a Solution


a=v-u/t
1.8=7.6-u/2.5
u=7.6+1.8/2.8
u=3.357...
u=3.36m/s

Is this correct? Sorry if the layout is messy this is my first time using it.
 
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lornf said:
v/sf=7.6m/s
u/si=?
Can you explain in plain English what these are?
 
kuruman said:
Can you explain in plain English what these are?
v/sf is the final speed and u/si is the initial speed. Sorry our school teaches them in unconventional ways.
 
lornf said:
a=v-u/t

That's not dimensionally correct. ##v## does not have the same units as ##a## or ##u/t##. You might want to take a look at your motion equations again.
 
lornf said:
v/sf is the final speed and u/si is the initial speed. Sorry our school teaches them in unconventional ways.
It's OK, as long as we both understand what the symbols stand for. In your notation, the acceleration is $$a=\frac{v/sf-u/si}{t}$$ Can you solve this equation for ##v/sf##?
 
kuruman said:
It's OK, as long as we both understand what the symbols stand for. In your notation, the acceleration is $$a=\frac{v/sf-u/si}{t}$$ Can you solve this equation for ##v/sf##?
Well without values, to rearrange the equation it would be -
a=v-u/t
v-u=at (a x t)
v=at+u

Is this what you mean? Did you want me to rearrange?
 
That's what I mean, but why did you change your symbols? I thought you said the final velocity is v/sf and the initial velocity u/si. In any case, now that you have the final velocity on the left and the given quantities on the right, you can put in the numbers.
 
Ah sorry you've misunderstood one of my replies but it's fine since I understand now, thank you!
 
I think I understand now. The "/sf" part is like a subscript and stands for "speed final". Similarly "/si" stands for "speed initial." The problem with this notation is that the slash "/" more commonly denotes division which is what @Eclair_de_XII 's reply was most likely based on.
 
  • #10
Yes, I thought this was where the confusion was. Sorry for not explaining properly but again thanks for the help!
 

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