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AP EAMCET2016PhysicsMotion in One Dimension

Two trains, which are moving along different tracks in opposite directions are put on the same track by mistake. On noticing the mistake, when the trains are 300 ~m apart the drivers start slowing down the trains. The graphs given below show decrease in their velocities as function of time. The separation between the trains when both have stopped is

Options

  1. A120 m
  2. B20 m
  3. C60 m
  4. D280 m

Correct answer

B. 20 m

Step-by-step solution

Given initial distance between trains =300 ~m . From given graph and as per question two trains are moving in opposite direction. So the separation between the trains when both have stopped aligned & =300- ( 1 2 10 40+ 1 2 9 20 ) & =300-200+80=20 ~m aligned Given is the angle between the total acceleration and tangential acceleration.

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