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Physics Motion in a Straight Line Relative Motion MCQ (Single Correct)

An airplane pilot sets a compass course due west and maintains an air speed of 240 km/h. After flying for h, he finds himself over a town that is 150 km west and 40 km south of his starting point. The wind velocity (with respect to ground) is :

A
100 km/h, 37° W of S
B
100 km/h, 37° S of W
C
120 km/h, 37° W of S
D
120 km/h, 37° S of W

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Text Solution

Verified by Experts
The correct answer is:
A

100 km/h, 37° W of S

Sol. Let velocity of wind be

(240 + v 1 ) 1/2 = 150 ⇒ v 1 = 60

and v 2 × 1/2 = 40 ⇒ v 2 = 80

so v air = = 100 km/hr

tan θ = θ = 37º west of south

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