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JEE Main 2021 (16 Mar, Shift 2) · Relative Velocity in Two Dimensions

Relative Velocity in Two Dimensions question from JEE Main 2021 (16 Mar, Shift 2)

Q12JEE Main 2021 · 16 MAR · SHIFT 2Easy

Relative Velocity in Two Dimensions

A swimmer can swim with velocity of 12 km/h in still water. Water flowing in a river has velocity 6 km/h. The direction with respect to the direction of flow of river water he should swim in order to reach the point on the other bank just opposite to his starting point is ____________∘^\circ. (Round off to the Nearest Integer) (Find the angle in degrees)

Numerical answer type. Work it out, then open the answer.

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Answer: 120

  1. To reach the opposite point, the component along the flow must cancel: 12cos⁡θ+6=012\cos\theta + 6 = 0
  2. cos⁡θ=−12⇒θ=120∘\cos\theta = -\frac{1}{2} \Rightarrow \theta = 120^\circ
  3. Answer: 120∘120^\circ
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