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Figure shows top view of an airplane blo...

Figure shows top view of an airplane blown off course by wind in various directions. Assume the magnitude of the velocity of the airplane relative to the wind and the magnitude of the velocity of the wind to be the same each case. `vecv_(A//w)=`velocity of the airplane relative to the wind, `vecv_(w//g)=` velocity of the wind in ground frame

A

Air plane travels fastest across the ground in case d

B

Airplane travels slowest across across the ground in case c

C

Airplane experiences in the maximum lateral displacement in case a in a given time.

D

In none of thecases, the velocity of the wind with respect to the airplanes can be directed along south west

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
`vecv_(A//g)=vecv_(A//w)+vecv_(w//g)`
Net velocity of the airplane is the resultant of two given velocities.
The resultant is maximum in case d and minimum in case c.
Lateral velocity (velocity perpendicular to `vecv_(A//w)` is maximum in case a. hence lateral displacement is maximum in case a.
In each case `vecv_(A//w)` is towards north, so `vecv_(w//A)` will be towards south.
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Knowledge Check

  • If wind blows in a direction opposite to the sound propagation , then the velocity of the sound

    A
    increases
    B
    decreases
    C
    remains constant
    D
    Cannot be determined

  • An aeroplane is flying with the velocity of V_(1)=800kmph relative to the air towards south.A wind with velocity of V_(2)=15ms^(-1) is blowing from west to east.What is the velocity of the aeroplane with respect of the earth.

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  • Two objects A and B are moving in opposite directions with velocities v_(A) and v_(B) respectively, the magnitude of relative velocity of A w.r.t. B is

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