Physics

Problem

A straight-line graph of kinetic energy

K

versus

v^{2}

for a particle passes through the points

(v^{2}=16\,\text{m}^{2}\text{/s}^{2},\,K=40\,\text{J})

and

(v^{2}=36\,\text{m}^{2}\text{/s}^{2},\,K=90\,\text{J})

. Using only this information, what is the kinetic energy of the particle when its speed is

12\,\text{m/s}

? a)

300\,\text{J}

240\,\text{J}

360\,\text{J}

180\,\text{J}