Q.

An aeroplane flies along a straight line from A to B with a speed v0 and back again with the same speed v0. A steady wind v is blowing. If AB = 1 then
a) total time for the trips is 2v0lv02v2 if wind blows along the line AB
b) total time for the trip is 2lv02v2, if wind blows perpendicular to the line AB
c) total time for the trip decrease because of the presence of wind
d) total time for the trip increase because of the presence of wind

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a

a, b, c are correct

b

only a, d are correct

c

a, b, d are correct

d

only b, d are correct

answer is A.

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Detailed Solution

When wind is along AB
t1=ABv0v=lv0vt2=ABv0+v=1v0+vt=t1+t2=2v0v02v2
When the wind is perpendicular to AB relative velocity along AB and BA are equal in magnitude
vrel =v02v2t=t1+t2=1v02v2+1v02v2t=2lv02v2
Total time for the trip increases, because of the presence of wind

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