A body starts from rest and moves with uniform acceleration along a straight horizontal track. Let d_1 be the distance covered by the body in the p^ th second of its motion, and d_2 be the total distance covered by it

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Correct answer: A. (2p-1)/(p^2)

Initial velocity u = 0 . Distance covered in the p^ th second is given by: d_1 = u + (a)/(2)(2p - 1) = (a)/(2)(2p - 1) Total distance covered in the first p seconds is given by: d_2 = up + (1)/(2)ap^2 = (1)/(2)ap^2 The ratio (d_1)/(d_2) is: (d_1)/(d_2) = ((a)/(2)(2p - 1))/((1)/(2)ap^2) = (2p - 1)/(p^2) Answer: (2p-1)/(p^2)

A body starts from rest and moves with uniform acceleration along a...

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