Question

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)?

Answer 1

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

Explanation:

`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)"`