Question : The position 𝑥 of a particle varies with time 𝑡 as 𝑥 = 𝑎𝑡 2 − 𝑏𝑡3 . The acceleration of the particle will be zero at time 𝑡 equal to
(A) a/b
(B) 2a/3b
(C) a/3b
(D) zero
Answer : option ()
Solution :
The position 𝑥 of a particle varies with time 𝑡 as 𝑥 = 𝑎𝑡 2 − 𝑏𝑡3 . The acceleration of the particle will be zero at time 𝑡 equal to
with
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