Physics

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A car travels 20.2 km due north and then
31.3 km in a direction φ = 61.2◦ west of north.

Find the magnitude of the car’s resultant
displacement.

Then Calculate the direction of the car’s resultant displacement, measured counterclockwise from the northerly direction.

  • Physics -

    α=180-61.2=118.8°
    Cosine Law
    d=sqrt{20.2²+31.3²-2•20.2•31.3•cos118.8°} =
    =44,7 km
    Sine Law
    31.3/sinθ=44.7/sin118.8°
    sinθ=31.3 •sin118.8°/44.7=0.61
    θ= 37.9°

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