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AP EAMCET201921 Apr 2019Evening ShiftPhysicsMotion in Two DimensionsActual

Ship A is moving westwards with a speed of 20 km h - 1 and another ship B which is at 200 km south of A is moving Northwards with a speed of 10 km h - 1 . The time after which the distance between them is shortest and the shortest distance between them are respectively

Options

  1. A4   h , 80 5   km
  2. B50 2   h , 10   km
  3. C100 2   h , 2 10   km
  4. D80 5   h , 4   km

Correct answer

A. 4   h , 80 5   km

Step-by-step solution

The expression for the maximum height of the projectile is given by, H = u 2   sin 2   θ 2   g               … 1 The expression for the maximum range of the projectile is given by, R = u 2   sin   2 θ g The ratio of the maximum height to the range of the projectile is calculated as, H R = u 2   sin 2 θ 2   g u 2   sin   2 θ g = sin 3   θ 2   sin   2 θ Substitute the given values in the

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