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JEE Main20257 Apr 2025Evening ShiftPhysicsMotion in One DimensionActual

A helicopter flying horizontally with a speed of 360 ~km / h at an altitude of 2 km , drops an object at an instant. The object hits the ground at a point O , 20 s after it is dropped. Displacement of ' O ' from the position of helicopter where the object was released is : (use acceleration due to gravity g =10 ~m / s ^2 and neglect air resistance)

Options

  1. A2 5 ~km
  2. B4 km
  3. C7.2 km
  4. D2 2 ~km

Correct answer

D. 2 2 ~km

Step-by-step solution

aligned & u =360 5 18 =100 ~m / s & x = u t =2 10^3 ~m & t = 2 H g H = t ^2 ~g 2 & H = 400 10 2 & H =2000 ~m & D = x ^2+ H ^2 & D =2 2 ~km aligned

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