A car is driven 215 km west and then 85 km southwest. What is the displacement of the car from the point of origin (magnitude and direction)?

1 Answer
ali ergin
Mar 13, 2016

"displacement="281,59 km" (magnitude)"
theta =77,68^o " from S to SW (angle of direction)"

Explanation:

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x=215+85sqrt2/2=275,10 km
y=85sqrt2/2=60,10
"displacement="sqrt((275,10)^2+(60,10)^2)
"displacement="281,59 km" (magnitude)"
tan theta=(275,10)/(60,10)=4,577
theta =77,68^o " from S to SW (angle of direction)"

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