Kinematics Equations

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Kinematics Equations
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The main equations will be asterisked
NOTE You will NOT be expected to do this on a
test, but it is important to know these equations
come from somewhere and were not arbitrarily made
up.
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Lets start with what you know, the equation we
use for constant or average velocity
Now rearrange and solve for displacement
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If I wanted that velocity to be an average
velocity between two points, an initial and final
velocity, what would you change?

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Lets start with another equation you know, the
acceleration equation

This can be rearranged and set equal to vF
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Take
And substitute it into
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Simplify the equation

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Take
Rearrange it so that it is equal to t
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Now substitute it into
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You should get this
Now simplify
again
And again
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The final form should be

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AKA blue equation

AKA Orange Equation

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AKA red equation

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AKA Light Green Equation

AKA Dark green Equation
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Using these equations

• There are a total of five (5) variables that are
  used in combination in these equations vF, vi,
  a, t and d.
• You choose the equation based on what variables
  you have and which you need.

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