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Q.

Two cars 1 & 2 starting from rest are moving with speeds V₁and V₂m/s (V₁ > V₂ ). Car 2 is ahead of car '1' by 'S' metres when the driver of car '1' sees car '2'. What minimum retardation should be given to car '1' avoid collision

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a

$\frac{V_{1} + V_{2}}{S}$

b

$\frac{{(V_{1} - V_{2})}^{2}}{2 S}$

c

$\frac{{(V_{1} + V_{2})}^{2}}{2 S}$

d

$\frac{V_{1} - V_{2}}{S}$

answer is D.

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Detailed Solution

V² – U² = 2as ;

Here V will be the relative velocity, V = V₁ -V₂

(V₁ -V₂)² - 0 = 2as,
Minimum retardation $a = \frac{{(V_{1} - V_{2})}^{2}}{2 s}$

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Two cars 1 & 2 starting from rest are moving with speeds V1 and V2 m/s (V1 > V2 ). Car 2 is ahead of car '1' by 'S' metres when the driver of car '1' sees car '2'. What minimum retardation should be given to car '1' avoid collision