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2.Motion in Straight Line
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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............$m$
A$8$
B$2 $
C$4$
D$6$
(AIPMT-1998)
Solution
(a) $S \propto {u^2}$
$\therefore \frac{{{S_1}}}{{{S_2}}} = {\left( {\frac{{{u_1}}}{{{u_2}}}} \right)^2}$
$⇒$ $\frac{2}{{{S_2}}} = \frac{1}{4} \Rightarrow {S_2} = 8\;m$
$\therefore \frac{{{S_1}}}{{{S_2}}} = {\left( {\frac{{{u_1}}}{{{u_2}}}} \right)^2}$
$⇒$ $\frac{2}{{{S_2}}} = \frac{1}{4} \Rightarrow {S_2} = 8\;m$
Standard 11
Physics
