Derive the equation for velocity time relation (v=u+at ) by. Graphical

1.	Derive the equation for velocity time relation (v=u+at ) by. Graphical method
Answer» From the below graph, v = final velocity of the particle, u = initial velocity of the particle, a = acceleration of the particle.Slope of v - t graph{tex}\\tan \\theta = \\frac { \\upsilon - \\nu } { t }{/tex}Again, acceleration a = slope of v - t graph.Hence, tan {tex}\\theta{/tex} = acceleration (a){tex}\\therefore a = \\frac { v -u } { t }{/tex}{tex}\\Rightarrow \\upsilon - u = at{/tex}{tex}\\therefore v =u+ at{/tex}

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