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For uniform accelerated motion, draw by ...

For uniform accelerated motion, draw by graphical method establish the following equations of motion : v = u + at

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The velocity time graph for positive constant acceleration of a particle is shown in Let u be the initial velocty of particle at time t =0 and v is velocity at time t = t. Draw QS perpendicular to time axis and `PR bot ` to the velocity axis.
From the graph `OS = t, OP = RS = u and QR = v - u`
We know that, Slope of v - t graph =
accelration
or `a = tan theta = ( QR)/( PR) = (QR)/( OS) or a = ( v - u )/(t) or v = u + at `
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