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A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement $\mathrm{x}$ is proportional to
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$x^3$
$x^3$
$\mathrm{K}_{\mathrm{f}}-\mathrm{K}_{\mathrm{i}}=\frac{\mathrm{mk}}{2} \mathrm{x}^2$
$\mathrm{~K}_{\mathrm{f}}-\mathrm{K}_{\mathrm{i}} \propto \mathrm{x}^2$
$\mathrm{~K}_{\mathrm{f}}-\mathrm{K}_{\mathrm{i}} \propto \mathrm{x}^2$
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