6   Question 2 continued _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 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_____________________________________________________________________________________ _____________________________________________________________________________________ Turn over 7   Question 2 continued _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 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_____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ (Total for Question 2 is 10 marks) 8   3. [In this question, i and j are horizontal unit vectors.] A particle P of mass 4 kg is at rest at the point A on a smooth horizontal plane. At time t = 0, two forces,  F1 = (4i – j) N  and   F2 = (λi + μj) N , where λ and μ are constants, are applied to P Given that P moves in the direction of the vector  (3i + j) (a) show that λ – 3μ + 7 = 0 (4) At time  t = 4 seconds, P passes through the point B. Given that  λ = 2 (b) find the length of AB. 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_____________________________________________________________________________________ _____________________________________________________________________________________ Turn over 9   Question 3 continued _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 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