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  4. The slope of the kinetic energy versus position vector gives the rate of change of

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Q. The slope of the kinetic energy versus position vector gives the rate of change of

KEAMKEAM 2006Work, Energy and Power

Solution:

We know that, kinetic energy (KE) =$\frac{1}{2}mv^2$
Also ,force $\times$ displacement $=\frac{1}{2}mv^2$
$\Rightarrow F=\frac{1}{2}m\frac{v^2}{d}=\frac{KE}{d}$
Hence, slope of kinetic energy versus position vector gives the rate of change of force.