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A force acts on a 30 gm particle in such a way that the position of the particle as a function of time is given by $x=3t-4{t}^{2}+{t}^{3}$, where x is in metres and t is in seconds. The work done during the first 4 seconds is

(1) 5.28 J

(2) 450 mJ

(3) 490 mJ

(4) 530 mJ

PMT