A particle is moving unidirectionally on a horizontal plane under the action of a constant power supplying energy source. The displacement(s) - time (t) graph that describes the motion of the particle is (graph are drawn schematically and are not to scale):

 

<p><span contenteditable="false"> <math> <mi>P</mi> <mo>=</mo> </math> </span>constant <span contenteditable="false"> <math> <mi>S</mi> <mo>=</mo> <mroot> <mrow> <mrow> <mfrac> <mrow> <mrow> <mn>8</mn> <mi>P</mi> </mrow> </mrow> <mrow> <mrow> <mn>9</mn> <mi>m</mi> </mrow> </mrow> </mfrac> </mrow> </mrow> <mrow></mrow> </mroot> <msup> <mrow> <mrow> <mi>t</mi> </mrow> </mrow> <mrow> <mrow> <mn>3</mn> <mo>/</mo> <mn>2</mn> </mrow> </mrow> </msup> </math> </span></p><p><span contenteditable="false"> <math> <mi>S</mi> <mo>∝</mo> <msup> <mrow> <mrow> <mi>t</mi> </mrow> </mrow> <mrow> <mrow> <mn>3</mn> <mo>/</mo> <mn>2</mn> </mrow> </mrow> </msup> </math> </span></p>

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