Two bodies are thrown vertically upwards with their initial speed in the ratio 2 ∶ 3. The ratio of the maximum heights reached by then and the ratio of their time taken by them to return back to the ground respectively are

Question : Two bodies are thrown vertically upwards with their initial speed in the ratio 2 ∶ 3. The ratio of the maximum heights reached by then and the ratio of their time taken by them to return back to the ground respectively are

(A) 4 ∶ 9 and 2 ∶ 3

(B) 2 ∶ 3 and √2 ∶ √3

(C) √2 ∶ √3 and 4 ∶ 9

(D) √2 ∶ √3 and 2 ∶ 3

Answer : option (A)

Solution :

Two bodies are thrown vertically upwards with their initial speed in the ratio 2 ∶ 3. The ratio of the maximum heights reached by then and the ratio of their time taken by them to return back to the ground respectively are
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