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anonymous

  • 4 years ago

How to Find out; the Resultant Displacement & the Direction of the resultant (with respect to +ve x-axix) If a Car travels 200 km due EAST and then 150 km 60 (degrees) North Of East.

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  1. TuringTest
    • 4 years ago
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    Draw a vector diagram:|dw:1329594315669:dw|it looks Law of cosines will take care of this in a flash\[\large d^2=a^2+b^2-2ab\cos D \]where D is the angle that subtends side d (which is the displacement, and a and b are the other sides of the triangle

  2. TuringTest
    • 4 years ago
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    knowing that you can then find the angle of direction (beta) by using the law of cosines again|dw:1329594764737:dw|

  3. TuringTest
    • 4 years ago
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    I should just call the direction angle B, sorry*

  4. TuringTest
    • 4 years ago
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    |dw:1329594887617:dw|\[b^2=d^2+a^2-2da\cos B\]solve for B to get the angle

  5. anonymous
    • 4 years ago
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    so angle D must be 120....Right.. ?

  6. anonymous
    • 4 years ago
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    d= 304.138 & 25.28 degrees Thanks!

  7. TuringTest
    • 4 years ago
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    nice job :D welcome!

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