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AP EAMCET202317 May 2023Morning ShiftPhysicsMotion in Two DimensionsActual

At any instant ' t ' the vertical distance ' Y ' and horizontal distance ' X ' of a projectile are given by 2 Y =6 t - gt ^2 and X=4 t . The initial velocity of projectile is ( X and Y are in metre and t is in second)

Options

  1. A3 ~ms ⁻¹
  2. B4 ~ms ⁻¹
  3. C5 ~ms ⁻¹
  4. D6 ~ms ⁻¹

Correct answer

C. 5 ~ms ⁻¹

Step-by-step solution

aligned & x=4 t & V_x= d x d t =4 & Y=3 t- g t^2 2 & V_y= d y d t =3-g t & at t=0 V_y=3 aligned aligned & V_i= V_x^2+V_y^2 & = 4^2+3^2 =5 ~m / s aligned

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