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AP EAMCET · PHYSICS · Motion In Two Dimensions

Aball is projected from a point with a speed \(V_0\) at certain angle with the horizontal. From the same point and at the same instant, a person starts running with a constant speed \(0.5 \mathrm{~V}_0\) to catch the ball. If the person catches the ball after some time, then the angle of projection of the ball is

  1. A \(60^{\circ}\)
  2. B \(30^{\circ}\)
  3. C \(45^{\circ}\)
  4. D \(53^{\circ}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(60^{\circ}\)

Step-by-step Solution

Detailed explanation

\(x_{ball} = x_{person}\) \((V_0 \cos \theta) t = (0.5 V_0) t\) \(\cos \theta = 0.5\) \(\theta = 60^{\circ}\)