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JEE Main 2026 (4 Apr, Shift 2) · Relative Velocity

Relative Velocity question from JEE Main 2026 (4 Apr, Shift 2)

Q1JEE Main 2026 · 4 APR · SHIFT 2Difficult

Relative Velocity

Two cars AA and BB are moving in the same direction along a straight line with speeds 100 km/h100\text{ km/h} and 80 km/h80\text{ km/h}, respectively such that car AA is moving ahead of car BB. A person in car BB throws a stone with a speed vv so that it hits the car AA with a speed of 5 m/s5\text{ m/s}. The value of vv is ‾ km/h\underline{\qquad}\text{ km/h}.

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Answer: (c)

  1. Stone must hit A with 5 m/s=18 km/h5\text{ m/s} = 18\text{ km/h} relative to A, so stone's ground speed =100+18=118 km/h= 100 + 18 = 118\text{ km/h}.
  2. Speed relative to B (thrower): v=118−80=38 km/hv = 118 - 80 = 38\text{ km/h}
  3. So the answer is (c) 38.
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