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AP EAMCET201823 Apr 2018Evening ShiftPhysicsMotion in Two DimensionsActual

A body is projected horizontally from the top of a tall tower with a velocity of 30 ~ms ⁻¹ . At time t₁ , its horizontal and vertical components of the velocity are equal and at time t₂ , its horizontal and vertical displacements are equal. Then t₂-t₁ is (take, g=10 ~ms ⁻² )

Options

  1. A1 ~s
  2. B1.5 ~s
  3. C2 ~s
  4. D3 ~s

Correct answer

D. 3 ~s

Step-by-step solution

As per first condition, gathered 30=10 t₁ t₁=3 ~s gathered As per second condition, aligned 30 t₂ & = 1 2 10 t₂^2=t₂=6 ~s t₂-t₁ & =3 ~s aligned

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