An airplane pilot sets a compass course due west and moves with a constant speed 12 km/h
with respect to air. After flying for
1
2
hour, he finds himself over the town that is 7.5 km west
and 2 komsouth of his starting point. Find the magnitude of wind velocity (ker/hr)
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Class 11
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>>Motion in a Straight Line
>>Speed and Velocity
>>An airplane pilot sets a compass course
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An airplane pilot sets a compass course due west and maintains an air speed of 240 km/h. After flying for
2
1
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).
Medium
Solution
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Correct option is A)
d
2
=150
2
+40
2
=24100km
2
d=155km
θ=tan
−1
(
150
40
)=15
0
Velocity & pilot w.r.t ground (
v
1
)
0.5
−155
=310kmh
−1
v
2
⇒ velocity of eu
r
,v
3
→ velocity of wind w.r.t ground
v
3
=
v
1
+
v
2
=2
v
1
.
v
2
=240
2
+310
2
−2×210×310×0.9659
v
3
=100km/hr
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