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The variation of quantity $A$ with quantity $B$, plotted in figure. Describes the motion of a particle in a straight line.
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Quantity $B$ may represent time
,
Quantity $A$ is displacement if motion is uniform
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Quantity $A$ is velocity if motion is uniformly accelerated
Quantity $B$ may represent time
,
Quantity $A$ is displacement if motion is uniform
,
Quantity $A$ is velocity if motion is uniformly accelerated
If we are calculating velocity of a displacement-time graph we have to take slope similarly we have to take slope of velocity-time graph to calculate acceleration. If slope is constant, motion will be uniform. When we are representing motion by a graph it may be displacement-time, velocity-time or accelerationtime so, $B$ must represent time. For uniform motion velocity-time graph should be a straight line parallel to time axis. For uniform motion velocity is constant hence, slope will be positive. So quantiy $A$ is displacement.
Hence for uniformly accelerated motion slope is positive and $A$ will represent velocity.
Hence for uniformly accelerated motion slope is positive and $A$ will represent velocity.
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