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A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to

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a
x2
b
ex
c
x
d
log ex
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detailed solution

Correct option is A

According to question :dudt∝x or dudx⋅dxdt∝x or dudx⋅u∞x or udu∝xdx or v2∝x2

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A particle starts from point A moves along a straight line path with an aceleration given by a = p - qx where p,q are constants and x is distance from point A. The particle stops at point B. The maximum velocity of the paticle is

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