Equation of Motion Using Distance
Equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time.
The final speed squared equals the initial speed squared plus twice the acceleration times the distance.
Formula
![Copy to Clipboard QuantityVariable[Subscript["v", "f"], "Speed"]^2 == 2*QuantityVariable["a", "Acceleration"]*QuantityVariable["d", "Distance"] + QuantityVariable[Subscript["v", "i"], "Speed"]^2](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/0e8/0e8f24c4-d3a5-471d-acd9-94f9c5133bd4/Webpage/FormulaImage.png)
| symbol | description | physical quantity |
|---|---|---|
| vf | final speed | "Speed" |
| a | acceleration | "Acceleration" |
| d | distance | "Distance" |
| vi | initial speed | "Speed" |
Forms
Examples
Get the resource:
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| Out[1]= | ![]() |
Get the formula:
| In[2]:= |
| Out[2]= |
Use some values:
| In[3]:= |
| Out[3]= |
