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Graphical Representations    null

One way to graphically represent constant acceleration is to draw a [velocity versus time graph]. By the definition:

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\begin

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[ a = \frac

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]\end

it is clear that the acceleration is equal to the slope of such a graph, so that if the acceleration is constant, the [velocity versus time graph] will necessarily be linear.

Another way to graphically represent acceleration is to note that the equation:

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\begin

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[ x_

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= x_

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+ v_

(t_

-t_

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) + \frac

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a(t_

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-t_

)^

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]\end

implies that for the case of constant acceleration, the position versus time graph describing the motion will be a parabola.

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