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The position vector of a moving particle at time t is \(r=3i+4t^2j-t^3k\)  .. Its displacement during the time interval t=1 s to t=3 s is    

a) \(\hat{j}-\hat{k}\)                

b) \(3\hat{i}+4\hat{j}-\hat{k}\) 

c) \(9\hat{i}+36\hat{j}-27\hat{k}\)

d) \(32\hat{j}-26\hat{k}\)

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