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Equation of Motion Using Final and Initial Position

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 difference between the final and initial positions.

Formula

QuantityVariable[Subscript["v", "f"], "Speed"]^2 == QuantityVariable[Subscript["v", "i"], "Speed"]^2 + 2*QuantityVariable["a", "Acceleration"]*(QuantityVariable[Subscript["x", "f"], "Length"] - QuantityVariable[Subscript["x", "i"], "Length"])

symbol description physical quantity
vf final speed "Speed"
vi initial speed "Speed"
a acceleration "Acceleration"
xf final position "Length"
xi initial position "Length"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Equation of Motion Using Final and Initial Position"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject[ "Equation of Motion Using Final and Initial Position"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Equation of Motion Using Final and Initial Position"], \ {QuantityVariable[ \!\(\*SubscriptBox[\("x"\), \("f"\)]\),"Length"] -> Quantity[1, "Meters"]}]
Out[3]=

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