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A plane travelling at a speed of 150 meter per second due east of north has to go from point A to point B 500 km apart. If a wind blows straight north at a speed of 20 meter per second find the angle the pilot should follow to reach point B and also the time taken in flying from A to B.

  • Physics - ,

    The resultant velocity is

    v = (106,106) + (0,20) = (106,126)
    |v| = 164.7

    The angle x obeys tan(x) = 126/106
    The time taken is 500,000/164.7 seconds

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