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11 July, 12:27

An airplane with an airspeed of 120 km/h has a heading of 30 degree east of North in a wind that is blowing toward the east at 6okm/h. What is the speed of the plane relative to the ground

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  1. 11 July, 14:44
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    Velocity of plane relative to ground V_pg = ?

    Given the velocity in vector form,

    velocity of plane relative to air V_pw = 120 cos30 i + 120sin30j

    V_wg = 60 i

    V_pg = V_pw + V_wg

    = 120 cos30 i + 120sin30j + 60i

    = 164 i + 60 j

    magnitude

    =251 km / h

    =
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