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Q.

A particle starting from rest and moving along a straight line has acceleration (a) given as a function of displacement (x) by the equation a = bx, where b is a positive constant. The velocity of the particle when it has a displacement d is

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a

b d

b

2b d

c

b/2 d

d

(b d)/2

answer is A.

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Detailed Solution

a=bx⇒vdv=bxdx⇒∫0vvdv=∫0dbxdxFrom this v2/2 =bd2/2, hence v = b d
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