JEE Advanced 2024 Physics question
A ball is thrown from the location of a horizontal playground with an initial speed at an angle from the -direction. The ball is to be hit by a stone, which is thrown at the same time from the location . The stone is thrown at an angle from the -direction with a suitable initial speed. For a fixed , when , the stone hits the ball after time , and when , it hits the ball after time . In such a case, is .
Solution
Both bodies have the same acceleration , so their relative velocity is constant. They start at the same height, so to meet their vertical velocity components must be equal: , where is the speed of the stone. The horizontal gap closes at the rate
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