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If the plane has an eastward heading, an...

If the plane has an eastward heading, and a `20 m//s` wind blows towards the southwest, then the plane’s speed is –

A

`80 m//s`

B

more than `80 m//s` but less than `100 m//s`

C

`100 m//s`

D

more than 100 `m//s`

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A plane moves due east while the pilot points the plane somewhat south of east, toward a steady wind that blows to the northeast. The plane has velocity vecv_(PW) relative to the wind, with an airspeed (speed relative to the wind) of 215 km/h, directed at angle theta south of east. The wind has velocity vecv_(WG) is relative to the ground with speed 65.0 km/h, directed 20.0^@ cast of north. What is the magnitude of the velocity vec_(PG) of the plane relative to the ground, and what is theta ?

Knowledge Check

  • The captain of a plane wishes to proceed due west. The cruising speed of the plane is 245 m/s relative to the air. A weather report indicates that a 38.0 m/s wind is blowing from the south to the north. In what direction, measured with respect to due west, should the pilot head the plane relative to the air?

    A
    `81.1^(@)` south of west
    B
    `17.8^(@)` south of west
    C
    `8.92^(@)` south of west
    D
    `8.82^(@)` north of west
  • A boat is moving towards south with veloctity 3 m//s with respect to still water and river is flowing towards east with velocity 3 m//s and the wind is blowing towards south-east with velocoity 3 sqrt2 m//s . The direction of the flag blown over by the wind, hoisted on the boat is :

    A
    north-west
    B
    south-east
    C
    the flag will not blow
    D
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  • Assertion (A): If the speed of a car moving towards the east is 20 m s^(-1) , its velocity is 20 m s^(-1) towards the east. Reason ( R): The velocity of a body is speed in a specified direction.

    A
    Both A and R are true and R is the correct explanation of A.
    B
    Both A and R are true, but is not the correct explanation of A.
    C
    A is true but R is false.
    D
    Both A and R are false.
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