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a= acceleration
u=initial velocity

Therefore v=u+at
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Consider the graph attached below:
The linear motion of a body with initial velocity - u
The body accelerates uniformly with  - a
 Time - t
And aquires final velocity - v

The velocity-time graph is a straight line DB.

Initial velocity = OD = u
Final Velocity = OC = v
Acceleration = Slope of line DB,

Acceleration (a)

a = AB / AD 

a = DC / OE 

a = (OC-OD) / OE

a = (v-u) / t

at = v-u
v = u + at
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