A person travelling eastwards finds the wind to blow from north. On doubling his speed he finds it to come from north-east. Show that if he trebles his speed the wind would appear to him to come form a direction making an angle tan –1 (1/2) north of east.
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CHECK THE SOLUTION
Sol. Let 
= 
for winel and 
for man.
as given (w 1 – v) 
= 0 w 1 = v and (w 1 – 2v) 
+ w 2 
is north-east
∴ w 2 = – v
Now find relation velocity when speed of man is 2v 
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