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A pilot is supposed to fly a certain distance `AB`, due east from `A to B` and then due west fro...

A pilot is supposed to fly a certain distance `AB`, due east from `A to B` and then due west fro... Question From – Cengage BM Sharma MECHANICS 1 KINEMATICS-2 JEE Main, JEE Advanced, NEET, KVPY, AIIMS, CBSE, RBSE, UP, MP, BIHAR BOARD

QUESTION TEXT:-
A pilot is supposed to fly a certain distance `AB`, due east from `A to B` and then due west from `B to A`. The velocity of plane is `v` and that of air is `u`. The time for the round trip is `t_0` in still air. Show that lt br gt (a) if the air velocity be due east or west, the time for round trip will be `t_1 = (t_0)/((1 - (u^2)/(v^2))`. lt br gt (b) if the air velocity is due north or south, the time for a round trip will be `t_2 = (t_0)/sqrt((1 - (u^2)/(v^2)))`. lt br gt lt img src= width=80% gt .
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