A curved in a level road has a radius 75m . The maximum speed of a...

The maximum speed is given as $v = \sqrt{\mugr}$, where, $\mu$ is coefficient of friction and $r$ is radius of curved road.

$⇒ \dfrac{{v}_{1}}{{v}_{2}} = \sqrt{\dfrac{{r}_{1}}{{r}_{2}}}$

$⇒ \dfrac{30}{{v}_{2}} = \sqrt{\dfrac{75}{48}} = \sqrt{\dfrac{25}{16}} = \dfrac{5}{4}$

$⇒ {v}_{2} = 24m{s}^{- 1}$