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AP EAMCET202422 May 2024Evening ShiftPhysicsMotion in Two DimensionsActual

A ball at point ' O ' is at a horizontal distance of 7 m from a wall. On the wall a target is set at point ' C '. If the ball is thrown from ' O ' at an angle 37^ with horizontal aiming the target ' C '. But it hits the wall at point ' D ' which is at a vertical distance ' y₀ ' below C. If the initial velocity of the ball is 15 ~ms ⁻¹ . Find y₀ ( . given . 37^ = 4 5 )

Options

  1. A2 m
  2. B1.7 m
  3. C1.5 m
  4. D3 m

Correct answer

B. 1.7 m

Step-by-step solution

From figure, aligned & 37^ = BC 7 & BC =7 3 4 = 21 4 ~m =5.25 ~m & ~V _ x =15 37^ =15 4 5 & =12 ~m / s & ~S = v _ x t 7=12 t t = 7 12 ~s aligned In y -direction, aligned & BD = V _ y t - 1 2 gt ^2=9 7 12 - 1 2 10 7 12 7 12 & =3.54 ~m & y ₀= BC - BD =5.25-3.54=1.71 ~m aligned

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