Draw velocity-time graph for the motion of an object whose velocity changes from 'u' to
'V in time 'tat constant acceleration. From the graph derive the equation
2as = v2 - u2
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Derivation of First Equation of Motion by Algebraic Method
We know that the acceleration of the body is defined as the rate of change of velocity.
Mathematically, acceleration is represented as follows:
a=v−ut
where v is the final velocity and u is the initial velocity.
Rearranging the above equation, we arrive at the first equation of motion as follows:
v=u+at
Explanation:
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