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