Construct an integral expression for time on body trajectory

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A physical system is called integrable if it has as many conserved quantities as dynamical variables. Consider a body of mass m moving in one dimension x, subject to a conservative force corresponding to potential energy U(x). Hence, the body has conserved total energy E. Construct an integral expression for time on the body's trajectory as a function of position, t(x). Do not attempt to evaluate the integral.

Reference no: EM13981547

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