The position ๐‘ฅ of a particle varies with time ๐‘ก as ๐‘ฅ = ๐‘Ž๐‘ก 2 โˆ’ ๐‘๐‘ก3 . The acceleration of the particle will be zero at time ๐‘ก equal to

Question : The position ๐‘ฅ of a particle varies with time ๐‘ก as ๐‘ฅ = ๐‘Ž๐‘ก 2 โˆ’ ๐‘๐‘ก3 . The acceleration of the particle will be zero at time ๐‘ก equal to

(A) a/b

(B) 2a/3b

(C) a/3b

(D) zero

Answer : option ()

Solution :

The position ๐‘ฅ of a particle varies with time ๐‘ก as ๐‘ฅ = ๐‘Ž๐‘ก 2 โˆ’ ๐‘๐‘ก3 . The acceleration of the particle will be zero at time ๐‘ก equal to
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