Q. The motion of a particle along a straight line is described by equation where is in metre and in second. The retardation of the particle when its velocity becomes zero is

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Solution:

Given : = 8 + 12 12t - t3

When v = 0, 12 - 3t2 = 0 or t = 2 s

a|t = 2 s = - 12 m s-2
Retardation = 12 m s-2