Question:
A butterfly is flying with a velocity \(4\sqrt{2}\) 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 :
A butterfly is flying with a velocity \(4\sqrt{2}\) 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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Resolve the butterfly's velocity into East and North components, then subtract the wind's southward 1 m/s from the North component.
Updated On: Nov 4, 2026
- \(12\sqrt{2}\) m
- 20 m
- 3 m
- 15 m
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The Correct Option is D
Solution and Explanation
Butterfly velocity (North-East): East component \(= 4\sqrt{2}\cos 45^\circ = 4\) m/s, North component \(= 4\sqrt{2}\sin 45^\circ = 4\) m/s.
Wind blows from North to South, adding \(-1\) m/s to the North component: North \(= 4 - 1 = 3\) m/s.
Resultant speed \(= \sqrt{4^2 + 3^2} = 5\) m/s.
Displacement in 3 s \(= 5 \times 3 = 15\) m.
Answer: (4) 15 m
Wind blows from North to South, adding \(-1\) m/s to the North component: North \(= 4 - 1 = 3\) m/s.
Resultant speed \(= \sqrt{4^2 + 3^2} = 5\) m/s.
Displacement in 3 s \(= 5 \times 3 = 15\) m.
Answer: (4) 15 m
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