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JEE Main 2025 (2 Apr, Shift 1) · Relative Velocity in Two Dimensions

Relative Velocity in Two Dimensions question from JEE Main 2025 (2 Apr, Shift 1)

Q5JEE Main 2025 · 2 APR · SHIFT 1Medium

Relative Velocity in Two Dimensions

A river is flowing from west to east direction with speed of 9 km h−19\text{ km h}^{-1}. If a boat capable of moving at a maximum speed of 27 km h−127\text{ km h}^{-1} in still water, crosses the river in half a minute, while moving with maximum speed at an angle of 150∘150^\circ to direction of river flow, then the width of the river is:

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Answer: (a)

  1. Component of boat velocity across the river: 27sin⁡150∘=13.5 km/h=3.75 m/s27\sin 150^\circ = 13.5\text{ km/h} = 3.75\text{ m/s}
  2. Width =3.75×30=112.5 m= 3.75 \times 30 = 112.5\text{ m}
  3. So the answer is (a).
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