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  1. The position x of a particle with respect to time t along x-axis is given by x = 9t² – t³ where x is in metres and t in second. What will be the position of this particle when it achieves maximum speed along the +ve x direction?
    1. 54 m
    2. 81 m
    3. 24 m
    4. 32 m
Correct Option: A

Speed v =
dx
=
d
(9t² - t³) = 18t – 3t²
dtdt



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