# Stopping distance of a moving vehicle is directly proportional to

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Stopping distance of a moving vehicle is directly proportional to
A. square of the initial velocity
B. square of the initial acceleration
C. the initial velocity
D. the initial acceleration

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Let d_s is the distance travelled by the vehicle before it stops.
here, final velocity v = 0, initial velocity = u, S = d_s
Using equation of motion
v^(2) = u^(2) + 2aS
therefore (0)^(2) = u^(2) + 2ad_s, d_s = -u^(2)/2a or d_s propto u^(2)