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Show that the slope of velocity-time gra...

Show that the slope of velocity-time graph for uniformly acceleratied motion is equal to the acceleration of the body.

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In uniform accelerated motion, the valocity of the body increases at a constant rate. Therefore, v - t graph is a straight line inclined to the time axis with a postiive slope.
Change in veloity, when body moves from P to Q `=v _(2) - v _(1).`
Time taken for change `= t _(2) - t _(1)`
Therefore, acceleration `= (v _(2) - v _(1))/( t _(2 ) - t _(1)) = (QR)/(PR) = ` slope of line PQ `= tan theta `
Thus, acceleration of uniformly accelerated motion of the body is equal to the slope of `v - t ` graph.
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