An object of mass 4 kg is moving along X-axis such that its position x varies with time t as x2 = 16t3, with r in meter and t in sec. Work done from t = 3sec to t = 5sec is:

At t=3s,v12=36(3)=108 and t=5s,v22=36(5)=180Work done = =12mv22−12mv12=12(4)(180)−12(4)(108)=144J

An object of mass 4 kg is moving along X-axis such that its position x varies with time t as x2 = 16t3, with r in meter and t in sec. Work done from t = 3sec to t = 5sec is:

At t=3s,v12=36(3)=108 and t=5s,v22=36(5)=180Work done = =12mv22−12mv12=12(4)(180)−12(4)(108)=144J

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An object of mass 4 kg is moving along X-axis such that its position x varies with time t as x² = 16t³, with r in meter and t in sec. Work done from t = 3sec to t = 5sec is:

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At $t = 3 s, v_{1}^{2} = 36 (3) = 108$ and $t = 5 s, v_{2}^{2} = 36 (5) = 180$
Work done = $= \frac{1}{2} {mv}_{2}^{2} - \frac{1}{2} {mv}_{1}^{2} = \frac{1}{2} (4) (180) - \frac{1}{2} (4) (108) = 144 J$

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An object of mass 4 kg is moving along X-axis such that its position x varies with time t as x2 = 16t3, with r in meter and t in sec. Work done from t = 3sec to t = 5sec is:

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An object of mass 4 kg is moving along X-axis such that its position x varies with time t as x² = 16t³, with r in meter and t in sec. Work done from t = 3sec to t = 5sec is: