A car moving with a speed of $40\, km/h$ can be stopped by applying brakes after atleast $2\, m$. If the same car is moving with a speed of $80 \,km/h$, what is the minimum stopping distance............$m$
$8$
$2 $
$4$
$6$
A car moving with a speed of $40\, km/h$ can be stopped by applying brakes after atleast $2\, m$. If the same car is moving with a speed of $80 \,km/h$, what is the minimum stopping distance............$m$
$S \propto {u^2}$
$\therefore \frac{{{S_1}}}{{{S_2}}} = {\left( {\frac{{{u_1}}}{{{u_2}}}} \right)^2}$
$⇒$ $\frac{2}{{{S_2}}} = \frac{1}{4} \Rightarrow {S_2} = 8\;m$
$\therefore \frac{{{S_1}}}{{{S_2}}} = {\left( {\frac{{{u_1}}}{{{u_2}}}} \right)^2}$
$⇒$ $\frac{2}{{{S_2}}} = \frac{1}{4} \Rightarrow {S_2} = 8\;m$
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