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BITSAT2011PhysicsMotion in Two DimensionsActual

A passenger in a open car travelling at 30 ~m / s throws a ball out over the bonnet. Relative to the car the initial velocity of the ball is 20 ~m / s at 60^ to the horizontal. The angle of projection of the ball with respect to the horizontal road will be

Options

  1. A⁻¹ ( 2 3 )
  2. B⁻¹ ( 3 4 )
  3. C⁻¹ ( 4 3 )
  4. D⁻¹ ( 3 4 )

Correct answer

B. ⁻¹ ( 3 4 )

Step-by-step solution

array l ( v _ bc )_ x = ( v _ b )_ x - ( v _ c )_ x 20 60^ = ( v _ b )_ x -30 ( v _ b )_ x =40 ; ( v _ bc )_ y = ( v _ b )_ y - ( v _ c )_ y 20 60^ = ( v _ b )_ y -0 ( v _ b )_ y =10 3 ; = ( v _ b )_ y ( v _ b )_ x = 10 3 40 = 3 4 array

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