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AP EAMCET · PHYSICS · Motion In Two Dimensions

Two boys conducted experiments on the projectile motion with stopwatch and noted some readings. As one boy throws a stone in air at the same angle with the horizontal, the other boy observes that after \(4 \mathrm{~s}\), the stone is moving at an angle \(30^{\circ}\) to the horizontal and after another \(2 \mathrm{~s}\) it is travelling horizontally. The magnitude of the initial velocity of the stone is (Acceleration due to gravity, \(g=10 \mathrm{~ms}^{-2}\).)

  1. A \(40 \sqrt{3} \mathrm{~ms}^{-1}\)
  2. B \(20 \sqrt{3} \mathrm{~ms}^{-1}\)
  3. C \(10 \sqrt{3} \mathrm{~ms}^{-1}\)
  4. D \(50 \sqrt{3} \mathrm{~ms}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(40 \sqrt{3} \mathrm{~ms}^{-1}\)

Step-by-step Solution

Detailed explanation

Given, acceleration due to gravity, \(g=10 \mathrm{~m} / \mathrm{s}^2\) After \(4 \mathrm{~s}\), angle between stone and horizontal plane, \(\theta=30^{\circ}\) After \(t=4 \mathrm{~s}\), equation of the vertical projectile motion, when \(\theta=30^{\circ}\)…
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