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Q.

With reference to the concept of stopping distance which of the following is/are incorrect
I. The stopping distance is inversely proportional to the square of the initial velocity.
II. Doubling the initial velocity, increase the stopping distance by a factor of 4 (for the same deceleration)
III. Stopping distance is an important factor considered in setting speed limits

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a

Only II

b

Both I & III

c

Only III

d

Only I

answer is A.

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Detailed Solution

$v^{2} - u^{2} = 2 a s$
$\frac{- u^{2}}{2 a} = s$
$a = constant d_{s} \propto u^{2}$
When initial velocity doubled $d' = 4 d_{s}$

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With reference to the concept of stopping distance which of the following is/are incorrectI. The stopping distance is inversely proportional to the square of the initial velocity. II. Doubling the initial velocity, increase the stopping distance by a factor of 4 (for the same deceleration)III. Stopping distance is an important factor considered in setting speed limits