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The velocity v of a particle as a function of its position (x) is expressed as v=c1-c2x where c1 and c2 are positive constants. The acceleration of the particle is

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a

c2

b

-c22

c

c1-c2

d

c1+c22

answer is B.

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Detailed Solution

Given, v = c1-c2xwe know that, a=vdvdx⇒ a=c1-c2x·ddx9c1-c2x =12-c2=-c22

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The velocity v of a particle as a function of its position (x) is expressed as v=c1-c2x where c1 and c2 are positive constants. The acceleration of the particle is