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NTA Abhyas JEE Main2020PhysicsMotion in Two DimensionsPractice

To a stationary man, rain appears to be falling at his back at an angle 30 o with the vertical. As he starts moving forward with a speed of 0 .5 m s - 1 , he finds that rain falls vertically. The speed of rain with respect to stationary man is

Options

  1. A0 .5  m   s - 1
  2. B1 m s - 1
  3. C3 2    m   s - 1
  4. D1 3   m   s - 1  

Correct answer

B. 1 m s - 1

Step-by-step solution

For stationary person For running person Speed of rain with respect to a stationary man = ν v → = v   sin 30 o   i ^ − v   cos 30 o   j ^ The velocity of rain with respect to man, v → R M = v → R − v → M = ( v   sin 30 o   i ^ − v   cos 30 o   j ^ ) − ( 0.5   i ^ ) Since V → R M is vertically downward, its x -component will become zero. ∴  v   sin 30 o − 0.5 = 0 ⇒ v = 0.5 sin 30 o = 1

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