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NEETPhysicsMotion in Two Dimensions

Two identical balls, A and B, are projected with the same initial speed. Ball A is projected at an angle of 30^ with the horizontal, while ball B is projected at an angle of 30^ with the vertical. The ratio of the speed of ball A to the speed of ball B at their respective highest points is

Options

  1. A3 : 1
  2. B1 : 3
  3. C1 : 1
  4. D3 : 1

Correct answer

A. 3 : 1

Step-by-step solution

For ball A, the angle of projection with the horizontal is _A = 30^ . Speed of ball A at the highest point is its horizontal component of velocity: v_A = u 30^ = u ( 3 2 ) For ball B, the angle of projection with the vertical is 30^ , so its angle with the horizontal is _B = 90^ - 30^ = 60^ . Speed of ball B at the highest point is: v_B = u 60^ = u ( 1 2 ) The ratio of their speeds at the highest points is: v_A v_B = u ( 3 2 ) u ( 1 2 ) = 3 1 Therefore, the ratio is 3 : 1 . Answer: 3 : 1

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