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Q.

A car, moving with a speed of 50km/hr, can be stopped by brakes after at least 6m. If the same car is moving at a speed of 100km/hr. the minimum stopping distance is

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a

12 m

b

18 m

c

6 m

d

24 m

answer is C.

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Detailed Solution

using the equation

$v^{2} = u^{2} + 2 a s$

$here v = 0 as the body stops finally$

$u^{2} = - 2 a s$

$s = - \frac{u^{2}}{2 a}$

assuming retardation a is constant

$s \propto u^{2}$

$\frac{s_{1}}{s_{2}} = \frac{u_{1}^{2}}{u_{2}^{2}}$

$\frac{6}{s_{2}} = \frac{50^{2}}{100^{2}} = \frac{1}{4}$

$s_{2} = 24 m$

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A car, moving with a speed of 50km/hr, can be stopped by brakes after at least 6m. If the same car is moving at a speed of 100km/hr. the minimum stopping distance is