Physics - W.E.P. Question with Solution | TestHub

Power$\mathit{=}\frac{\mathit{\text{Work}}}{\mathit{T}\mathit{i}\mathit{m}\mathit{e}\mathit{}}\mathit{=}\frac{\mathit{\text{Force}}\mathit{\times }\mathit{\text{distance}}}{\mathit{\text{Time}}}\mathit{=}\mathit{\text{Force}}\mathit{\times }\mathit{\text{velocity}}$

$\mathit{\therefore }\mathit{\text{Force}}\mathit{\times }\mathit{\text{velocity}}\mathit{=}\mathit{\text{constant}}\mathit{(}K\mathit{}\mathit{)}$

or$(ma)(at)=K$

or$a=(\frac{K}{mt}{)}^{1/2}$

$\because s=\frac{1}{2}a{t}^2$

$\therefore s=\frac{1}{2}(\frac{K}{mt}{)}^{1/2}{t}^2=\frac{1}{2}(\frac{K}{m}{)}^{1/2}{t}^{3/2}$

orsis proportional tot^3/2