A stone slides across an icy surface and travels a distance of x in time t while suffering uniform retardation. Which of the following pairs of quantities, plotted to represent the motion of the stone, would give a straight-line graph?(adsbygoogle = window.adsbygoogle || []).push({});

A. x and t

B. x and t^{2}

C. x/t and t^{2}

D. x/t and t

E. x/t^{2}and t

This is my approach to the problem:

The initial velocity, u = at.

Hence, the distance travelled by the stone, x = 0.5at^{2}

x/t^{2}= (0.5at^{2})/t^{2}

= 0.5a

Since a is a constant, then a flat line would be represented in a graph of axes x/t^{2}and t.

Also, in D., x/t = v, which decreases at a constant rate because of the constant deceleration, so this is another straight-line graph.

Obviously, there must be something wrong with my reasoning because there can only be one, and not two answers for each multiple choice question.

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# Homework Help: Straight-line graph

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