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March 29, 2017

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An ant crawls on a tabletop. It moves 2cm East, turns 3cm 40(degrees) North of East and finally moves 2.5cm North. What is the ants total displacement?

  • Physics - ,

    Add the three displacement vectors.
    2 i + (3 sin40 j + 3 cos40 i) + 2.5 j
    = (2+3cos40) i + (2.5+3sin40) j

    Magnitude of displacement
    = sqrt[4.298^2 + 4.428^2]
    = 6.171 cm
    Direction = arctan 4.298/4.428
    = 44.2 deg N of E

  • Physics - ,

    Thank You!!

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