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NEETPhysicsMotion in Two Dimensions

A body is projected horizontally from the top of a tower of height 180 ~m with a velocity of 20 ~ms ⁻¹ . If acceleration due to gravity is 10 ~ms ⁻² , then match the following. array llll A & B & C & D array

Options

  1. AIV II III I
  2. BI II III IV
  3. CIV II I III
  4. DII IV I III

Correct answer

C. IV II I III

Step-by-step solution

Given, initial horizontal component of velocity, u_x=20 ~m / s . Initial vertical component of velocity, u_y=0 Acceleration due to gravity, g=a_y=10 ~m / s ^2 So, horizontal component of velocity after 1 ~s , aligned v_x & =u_x+a_x t & =20+0=20 ~m / s aligned and vertical component of velocity after 1 ~s , aligned v_y & =u_y+a_y t & =0+10 1 & =10 ~m / s aligned Horizontal displacement after 1 ~s , aligned s_X & =u_x t+ 1 2 a_X t^2 & =20 1+0=20 ~m aligned Vertical displacement after 1 ~s , aligned s_y & =u_y t+ 1 2

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