Solve this answers

Solve this answers A point moves in a plane curve so that its tangential acceleration is constant and the magnitudes Of the tangential velocity and the norrnal acceleration are a constant ratio. Show that the intrinsic equation of the path is the frrm S AV2 + C.

Dear Student,
       Here we have at=d2Sd2ψ=A'( some constant)-----1here ψ we are taking as t now integrate equation 1 with respect to ψwe get dSdψ=A'ψ+B------2now integrate equation with respect to ψwe get S=A'ψ22+Bψ+Chere we can write A'2=AS=Aψ2+Bψ+C
Regards

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