Two particles A and B are projected simultaneously from ground at t = 0 , with velocity 30 m / s and 10 3 m / s at 3 0 ∘ and 6 0 ∘ angle with horizontal as shown in figure. Initial separation on gro

Question

Two particles A and B are projected simultaneously from ground at t = 0 , with velocity 30 m / s and 10 3 ​ m / s at 3 0 ∘ and 6 0 ∘ angle with horizontal as shown in figure. Initial separation on ground was 20 3 ​ m .

TestHub · Accepted Answer

u A ​ = ( 15 3 ​ i ^ + 15 j ^ ​ ) ; u B ​ = ( 5 3 ​ i ^ + 15 j ^ ​ ) u A / B ​ = u A ​ − u B ​ = 10 3 ​ i ^ a AB ​ = 0 . A will hit to B. After = 10 3 ​ 20 3 ​ ​ = 2 sec Height , H A ​ = ( 15 ) ( 2 ) + 2 1 ​ ( − 10 ) ( 2 ) 2 = 10 m X A ​ = ( 15 3 ​ ) ( 2 ) = 30 3 ​ m

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JEE Advanced (2027)