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Q.

Displacement (x) of a particle is related to time (t) as x = at + bt2 – ct3 where a, b and  c are constants of motion. The velocity of the particle when its acceleration is zero is given by

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a

a+b2c

b

a+b22c

c

a+b23c

d

a+b24c

answer is C.

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Detailed Solution

xx=at+bt2-ct3 v=a+2bt-3ct2 dvdt=2b-6ct  when acceleration is zero t=2b6c=b3c velocity at  t=b3c   v=a+2bb3c-3cb3c2    v=a+b23c
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