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Question

the velocity (v) of a body moving along positive x-direction varies with displacement (x) as v=krootx, where k is a constant . Determine how (v) varies with time (t) . Also , find the variation of x and t.

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Solution

Dear Student,
here given v=kx-----1or v2=k2xdifferentiate with respect to x we get 2vdvdx=k2or2vdv=k2dxdtdt=k2vdt0v2dv=0tk2dtv=k2t/2from equation 1 dxdt=kx0xdxx=0tkdt-2x=ktx=k2t24
Regard

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