NDA 2016 Physics question

Physics Motion in a Straight Line NDA 2016

Two balls, A and B, are thrown simultaneously, A vertically upward with a speed of 20 m/s from the ground and B vertically downward from a height of 40 m with the same speed and along the same line of motion. At what points do the two balls collide by taking acceleration due to gravity as ?

(A)The balls will collide after 3 s at a height of 30·2 m from the ground
(B)The balls will collide after 2 s at a height of 20·1 m from the ground
(C)The balls will collide after 1 s at a height of 15·1 m from the groundCorrect
(D)The balls will collide after 5 s at a height of 20 m from the ground

Answer: (C)

Solution

Take the ground as origin. Height of A: . Height of B: . They collide when : $20t = 40

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Question ID VK-030623