A force acts on a \( 3.0 \mathrm{~g} \) particle in such a way that the position of the particle....

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A force acts on a \( 3.0 \mathrm{~g} \) particle in such a way that the
\( \mathrm{P} \)
position of the particle as a function of time is given by \( x=3 t-4 t^{2}+t^{3} \). Where \( x \) is in metre and \( t \) in second.
W
The work done during the first \( 4 \mathrm{~s} \) is
(1) \( 570 \mathrm{~mJ} \)
(2) \( 450 \mathrm{~mJ} \)
(3) \( 490 \mathrm{~mJ} \)
(4) \( 528 \mathrm{~mJ} \)


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