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JEE Advanced 2014Paper 1
Exam
JEE Advanced
Year
2014
Paper
Paper 1
Subject
Physics
Chapter
Motion in Two Dimensions

JEE Advanced 2014 · Paper 1 · Physics · Motion in Two Dimensions

Airplanes A and B are flying with constant velocity in the same...

Airplanes A and B are flying with constant velocity in the same vertical plane at angles 30o{30}^{o} and 60o{60}^{o} with respect to the horizontal respectively as shown in the figure. The speed of A is 1003ms−1100\sqrt{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=t0t = {t}_{0} , A just escapes being hit by B, t0 in seconds is

Airplanes A and B are flying with constant velocity in the same vertical plane at angles 30 ^ o and 60 ^ o with respect

Correct answer

5

Step-by-step solution

The relative velocity of B with respect to A is perpendicular to line of motion of A.

Airplanes A and B are flying with constant velocity in the same vertical plane at angles 30 ^ o and 60 ^ o with respect
∴VBcos30o=VA∴ {V}_{B}cos {30}^{o} = {V}_{A}
⇒VB=200⇒ {V}_{B} = 200 m/s
And time {t}_{0} = \dfrac{\left(\text{ Relativedistance }\right)}{\left(Relativevelocity\right)}
=500VBsin30o=5sec= \dfrac{500}{{V}_{B}sin {30}^{o}} = 5sec

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