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JEE Main 2021 (20 Jul, Shift 1) · Relative Velocity in Two Dimensions

Relative Velocity in Two Dimensions question from JEE Main 2021 (20 Jul, Shift 1)

Q15JEE Main 2021 · 20 JUL · SHIFT 1Medium

Relative Velocity in Two Dimensions

A butterfly is flying with a velocity 424\sqrt{2} m/s in North-East direction. Wind is slowly blowing at 1 m/s from North to South. The resultant displacement of the butterfly in 3 seconds is:

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Answer: (d)

  1. Butterfly: 424\sqrt{2} at NE =4i^+4j^= 4\hat{i} + 4\hat{j} (east, north). Wind: −1j^-1\hat{j}.
  2. Resultant =4i^+3j^= 4\hat{i} + 3\hat{j}, speed =5 m/s= 5\text{ m/s}
  3. Displacement in 3 s=15 m3\text{ s} = 15\text{ m}
  4. So the answer is (d).
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