A particle moves along a straight line such that its displacement at any time 𝑡 is given by 𝑆 = 𝑡 3 − 6𝑡2 + 3𝑡 + 4 𝑚𝑒𝑡𝑟𝑒𝑠 The velocity when the acceleration is zero is

April 11, 2022

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Physics Problems

Question : A particle moves along a straight line such that its displacement at any time 𝑡 is given by 𝑆 = 𝑡 3 − 6𝑡2 + 3𝑡 + 4 𝑚𝑒𝑡𝑟𝑒𝑠 The velocity when the acceleration is zero is

(A) $3ms^{-1}$

(B) $-12ms^{-1}$

(D) $-9ms^{-1}$

Answer : option (D)

Solution :

A particle moves along a straight line such that its displacement at any time 𝑡 is given by 𝑆 = 𝑡 3 − 6𝑡2 + 3𝑡 + 4 𝑚𝑒𝑡𝑟𝑒𝑠 The velocity when the acceleration is zero is