Homework Help: Physics

Posted by Aurora on Monday, January 28, 2013 at 2:10pm.

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 - Elena, Monday, January 28, 2013 at 3:16pm
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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