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Kinematic Equations for Uniformly Accelerated Motion

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Kinematic Equations for Uniformly Accelerated Motion - Lesson Summary

Displacement x, velocity v, acceleration a and time t are all related. Using the v-t graph kinematic equations of motion can be derived.  Here only bodies moving with constant acceleration are dealt with.

There are three important kinematic equations for uniformly accelerated motion. The first equation is the relation between initial velocity v 0, final velocity v, uniform acceleration a and time t:  

v  = v 0 + at  

The second equation represents the relation between displacement x, initial velocity v 0 acceleration a and time t:

  x = v 0t + ½ at 2

The third equation is the relation between initial velocity v 0, final velocity v, acceleration a and displacement x.

v 2 = v 0 2 + 2ax
 

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