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NEET2015PhysicsMotion in One DimensionActual

A ship A is moving Westwards with a speed of 10   k m h - 1 and a ship B 100 km south of A , is moving Northwards with a speed of 10   k m   h - 1 . The time after which the distance between them becomes shortest, is:

Options

  1. A0 h
  2. B5 h
  3. C5 2 h
  4. D10 2 h

Correct answer

B. 5 h

Step-by-step solution

Relative velocity of ship B is, V → B A = 10 2   + 10 2 = 10 2   k m p h Let shortest distance between ship A & B is AO, Distance O B = 100 cos ⁡ 45 o = 50 2   k m Hence time taken to reach the shortest distance, t = 50 2 10 2 = 5 h r s

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