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Velocity Components

The velocity of an object is the rate of change of its position with respect to a frame of reference. Its components are the portions of the velocity in the direction of the coordinate system vectors.

The x component of the velocity equals the speed times the cosine of the angle. The y component of the velocity equals the speed times the sine of the angle.

Formula

{QuantityVariable[Subscript["v", "x"], "Speed"] == Cos[QuantityVariable["θ", "Angle"]]*QuantityVariable["v", "Speed"], QuantityVariable[Subscript["v", "y"], "Speed"] == QuantityVariable["v", "Speed"]*Sin[QuantityVariable["θ", "Angle"]]}

symbol description physical quantity
vx x component of the velocity "Speed"
θ angle "Angle"
v speed "Speed"
vy y component of the velocity "Speed"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Velocity Components"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Velocity Components"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Velocity Components"], {QuantityVariable["\[Theta]","Angle"] -> Quantity[30, "AngularDegrees"]}]
Out[3]=

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