A body is thrown vertically up with a velocity 𝑢. It passes three points 𝐴, 𝐵 and 𝐶 in its upward journey with velocities 𝑢/2 , 𝑢 /3 and 𝑢 /4 respectively. The ratio of the separations between points 𝐴 and 𝐵 and between 𝐵 and 𝐶 𝑖. 𝑒. , 𝐴𝐵 𝐵𝐶 is

Question : A body is thrown vertically up with a velocity 𝑢. It passes three points 𝐴, 𝐵 and 𝐶 in its upward journey with velocities 𝑢/2 , 𝑢 /3 and 𝑢 /4 respectively. The ratio of the separations between points 𝐴 and 𝐵 and between 𝐵 and 𝐶 𝑖. 𝑒. , 𝐴𝐵 𝐵𝐶 is

(A) 1

(B) 2

(C) 10/7

(D) 20/7

Answer : option (D)

Solution :

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