Multiple choice

A train moves in straight line with a uniform acceleration. If x and y be the velocities with which the front and rear end of the train respectively cross a fixed pole then the velocity with which the middle of the train crosses the pole is:

  1. $ \dfrac { x^2+y^2}{ 2 } $
  2. $ \dfrac { 2xy }{ x+y } $
  3. $ \sqrt { \dfrac { 1 }{ 2 } \left( { x }^{ 2 }+{ y }^{ 2 } \right) } $
  4. $ \sqrt { \dfrac { 1 }{ 2 } \left( { y }^{ 2 }-{ x }^{ 2 } \right) } $
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