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JEE Advanced2014PhysicsMotion in Two DimensionsActual

Airplanes A and B are flying with constant velocity in the same vertical plane at angles 30 o and 60 o with respect to the horizontal respectively as shown in the figure. The speed of A is 100 3 m s - 1 . At time t = 0 s, an observer in A finds B at a distance of 500 m. This observer sees B moving with a constant velocity perpendicular to the line of motion of A. If at t = t 0 , A just escapes being hit by B, t 0 in

Correct answer

5

Step-by-step solution

The relative velocity of B with respect to A is perpendicular to line of motion of A. ∴ V B cos ⁡ 30 o = V A ⇒ V B = 200 m/s And time t 0 = R e l a t i v e d i s t a n c e R e l a t i v e v e l o c i t y = 500 V B sin ⁡ 30 o = 5 s e c

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