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Question: A pilot is to flag an aircraft with velocity v due east. Wind is blowing due south with a velocity u...

A pilot is to flag an aircraft with velocity v due east. Wind is blowing due south with a velocity u. Find the time for a round journey A to B and back (A and B are l distance away).

A

l/v2−u2l/\sqrt{v^{2} - u^{2}}

B

2l/v2−u22l/\sqrt{v^{2} - u^{2}}

C

2l/v2l/v

D

2l/v2+u22l/\sqrt{v^{2} + u^{2}}

Answer

2l/v2−u22l/\sqrt{v^{2} - u^{2}}

Explanation

Solution

See Fig. the velocity in the direction A to B will be v2−u\sqrt{v^{2} - u} ∴ t = l/v2−u\sqrt{v^{2} - u} same time is needed to come back from B to A ∴ tnet = 2l/v2−u\sqrt{v^{2} - u}