A helicopter is to reach a point 200,000 m east of his existing place. Its velocity relative to wind blowing at 30 kmh -1 from north west taking scheduled arrival time duration as 40 minute is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
Velocity of wind w.r.t. earth is,
v WE = 30 kmh -1 towards NS i.e., SE velocity of helicopter w.r.t. earth is
v HE = 
= 300 km towards East
In vector form,
HE = 300 
and
WE = (30 cos 45 0 ) 
- (30 sin 45 0 ) 
= 15 
- 15 
Then resultant velocity is also given by, 
NH = 
WE + 
HW
or
HW = 
HE - 
WE
= 300 
- (15 √ √ 2 
- 15 √ √ 2 
)
= 279 
+ 21 
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