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Q.

A body is moving undirectionally under the influence of a source of constant power supplying energy . Which of the diagrams shown below correctly shows the displacement time curve for its motion?

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a

b

c

d

answer is B.

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Detailed Solution

POWER =FORCE X VELOCITY⇒ P=ma  v⇒ P=mdvdtv⇒ Pmdt=vdv⇒ integrating Ptm=v22⇒ 2Ptm=v2⇒ 2Ptm=v=dsdt⇒ 2Ptmdt=ds integrating s=2Pmt3232 ⇒s α t32 hence the second graph is correct one
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