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JEE Mains · Physics · STD 11 - Motion in straight line
  • JEE Mains 2020
  • Medium
  • MCQ

Train \(A\) and train \(B\) are running on parallel tracks in the opposite directions with speeds of \(36\, km / hour\) and \(72 \,km / hour,\) respectively. A person is walking in train \(A\) in the direction opposite to its motion with a speed of \(1.8\, km / hr\). Speed (in \(ms ^{-1}\) ) of this person as observed from train \(B\) will be close to (take the distance between the tracks as negligible)

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Answer & Solution

Correct Answer

(B) \(29.5\)

Step-by-step Solution

Detailed explanation

Velocity of man with respect to ground

\(\overrightarrow{ V }_{m / g}=\overrightarrow{ V }_{ m / A }+\overrightarrow{ V }_{ A }=-1.8+36\)

Velocity of man w.r.t. \(B\)

\(\overrightarrow{ V }_{ m / s }=\overrightarrow{ V }_{ m }-\overrightarrow{ V }_{ B }\)

\(=-1.8+36-(-72)\)

\(=106.2 km / hr\)

\(=29.5 m / s\)

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