Derivation of the Equations of Motion (Advanced Higher)

June 24th, 2009

Here are the derivations of the Equations of Motion required for Advanced Higher Physics, for future reference.

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Derivation of the Equations of Motion (Higher)

June 15th, 2009

Acceleration is defined as the rate of change of velocity. If we constrain ourselves to thinking about motion in one dimension (direction), this is easily written as a = \frac{v - u}{t}, where v and u are final and initial speeds, respectively. This relationship is easily rearranged to obtain an expression for final speed v = u + at.

This is the first derivation of three that you should be able to perform. The other two, s= ut + \frac12~at^2 and v^2 = u^2 + 2as are explained by Mr. Spittal in the following video clips:

Derivation (above) of s= ut + \frac12~at^2

Derivation (above) of v^2 = u^2 + 2as

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