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  1. A particle moves along a straight line such that its displacement at any time t is given by s = (t³ – 6t² + 3t + 4) metres The velocity when the acceleration is zero is ​​
    1. 3 ms–1
    2. ​– 12 ms–1
    3. 42 ms–2
    4. – 9 ms–1
Correct Option: D

Velocity, v =
ds
= 3t² 12t + 3
dt

Acceleration, a =
dv
= 6t² - 12t
dt

For a = 0, we have, 0 = 6 t – 12 or t = 2s. Hence, at t = 2 s the velocity will be



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