A body of mass m is launched up on a rough inclined plane making an...

{t}_{a} = \dfrac{1}{2}{t}_{d}$</p><p>$\sqrt{\dfrac{2s}{{a}_{a}}} = \dfrac{1}{2}\sqrt{\dfrac{2s}{{a}_{d}}} \ldots \left(i\right)$</p><p>${a}_{a} = gsin\theta + \mu gcos\theta$</p><p>$= \dfrac{g}{2} + \dfrac{\sqrt{3}}{2}\mug$</p><p>${a}_{d} = gsin\theta - \mu gcos\theta$</p><p>$= \dfrac{g}{2} - \dfrac{\sqrt{3}}{2}\mug$</p><p>Using the above values of${a}_{a}$and${a}_{d}$and putting in<br />equation \left(i\right)$, we will get, $\mu = \dfrac{\sqrt{3}}{5}$