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