The velocity vector v and displacement vector x of a particle executing SHM are related as
\(\rm \frac{vdv}{dx}=-\omega^2x\) with the initial condition v = v0 at x = 0. The velocity v, when displacement is x, is
1
\(\rm v=\sqrt{v^2_0+\omega^2x^2}\)
2
\(\rm v=\sqrt{v^2_0-\omega^2x^2}\)
3
\(\rm v=\sqrt[3]{v^3_0+\omega^3x^3}\)
4
\(\rm v=v_0-(\omega^3x^3e^{x^3})^{1/3}\)