A particle starts from rest and the acceleration at any time is given by a = f − kt 2 where f and k are constants. If s & u represents the displacement and velocity of the particle respectively at the

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A particle starts from rest and the acceleration at any time is given by a = f − kt 2 where f and k are constants. If s & u represents the displacement and velocity of the particle respectively at the time when its acceleration is zero then :-

TestHub · Accepted Answer

a = f − k t 2 = 0 ⇒ t = k f ​ ​ and a = f − k t 2 . d t d v ​ v x ​ = f − k t 2 = ∫ ( f − k t 2 ) d t = f t − 3 k t 3 ​ = ∫ ( f t − 3 k t 3 ​ ) d t = 2 f t 2 ​ − 12 k t 4 ​ ​

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