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Question: Answered & Verified by Expert
At a particular instant, a stationary observer on the ground sees a package falling with a speed v1 at an angle θ to the vertical. To a pilot flying horizontally with a constant speed v relative to the ground, the package appears to be falling vertically with a speed v2 ( at that same instant ). The speed of the pilot relative to the ground (v) is
PhysicsMotion In Two DimensionsNEET
Options:
  • A v 1 2 + v 2 2 1 / 2
  • B v 1 - v 2 v 2 - v 1
  • C v 1 2 - v 2 2 1 / 2
  • D v 1 - v 2
Solution:
1922 Upvotes Verified Answer
The correct answer is: v 1 2 - v 2 2 1 / 2

     

we can see from the diagram,  vector v1 is resultant of two vectors v and v2 

Hence v2+v22=v12

v=v12-v22

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