The motion of a particle along a straight line is described by equation x = 8 + 12 t – t 3 where x is in metre and t in second. The retardation of the particle when its velocity becomes zero is

Question

The motion of a particle along a straight line is described by equation x = 8 + 12 t – t 3 where x is in metre and t in second. The retardation of the particle when its velocity becomes zero is, 24 m s - 2, Zero, 6 m s - 2, 12 m s - 2

MARKS App · Accepted Answer

Given : x = 8 + 12 12t – t 3 Velocity, v = d ⁡ x d ⁡ t = 1 2 - 3 t 2 When v = 0, 12 – 3t 2 = 0 or t = 2 s a = d ⁡ v ⁡ d ⁡ t = - 6 t a| t = 2 s = – 12 m s –2 Retardation = 12 m s –2

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