Notes On Kinematic Equations for Uniformly Accelerated Motion - CBSE Class 11 Physics
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 v0, final velocity v, uniform acceleration a and time t:  

v  = v0 + at  

The second equation represents the relation between displacement x, initial velocity v0 acceleration a and time t:

  x = v0t + ½ at2

The third equation is the relation between initial velocity v0, final velocity v, acceleration a and displacement x.

v2 = v02 + 2ax
 

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 v0, final velocity v, uniform acceleration a and time t:  

v  = v0 + at  

The second equation represents the relation between displacement x, initial velocity v0 acceleration a and time t:

  x = v0t + ½ at2

The third equation is the relation between initial velocity v0, final velocity v, acceleration a and displacement x.

v2 = v02 + 2ax
 

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