A car travelling at 80 kmph can be stopped at a distance of 60 m by applying brakes. If the same car travels at 160 kmph and the same braking force is applied. the stopping distance is

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Aicharya · Accepted Answer

Stopping distance, $S=\frac{u^2}{2 a} \Rightarrow s \propto u^2$ $\begin{aligned} & 	herefore \frac{\mathrm{S}_2}{\mathrm{~S}_1}=\left(\frac{\mathrm{u}_2}{\mathrm{u}_1}ight)^2=\left(\frac{160}{80}ight)^2=4 \ & \Rightarrow \mathrm{~S}_2=4 \mathrm{~S}_1=4 	imes 60=240 \mathrm{~m}\end{aligned}$

A car travelling at 80 kmph can be stopped at a distance of 60 m by applying brakes. If the same car travels…

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