Solving a Random Equation: a=dt_o/t^3sqrt(1-v^2/c^2)

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The discussion revolves around several equations related to acceleration, time, and relativity. The main equation presented is a = dt_o / (t^3√(1 - v^2/c^2)), which involves variables for acceleration, distance, and the speed of light. The user initially expresses uncertainty about the equation E = 1/2 W and later acknowledges that most of the equations posted were incorrect. There is a suggestion to define symbols for clarity, which was later addressed by the user. Ultimately, the user concludes that their understanding of the equations needs improvement.
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A random equation...

a=\frac{dt_{o}}{t^3\sqrt{1 - v^2/c^2}}

Where:
a is acceleration,
d is distance traveled,
t is the time of the observer(stationary),
t_o is the time of the moving observer,
and
c is the constant of light(the speed of light).

Just to see how this fares with you guys.
 
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IooqXpooI said:
E=\frac{1}{2}W
^^^^^^^^^^^^^^^^
Note really sure about that one...

a=\frac{dt}{t_{o}\sqrt{1 - v^2/c^2}}


v=\sqrt{da}

Just to see how these fare with you guys(#2 is a play on the relativity equation), and how I'm doing with the 'tex' code.

??
 
When you post a bunch of equations, it would be much clearer to your readers if you would define your symbols. Otherwise, the equations are fairly meaningless.
 
Sorry about that...You were correct. I edited them in. Thanks!
 
Ok, after trying to prove them, I have found that all but one are wrong...:(

It seems that I accidentally concluded that \frac{1}{2} mv^2=E...
 

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