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A car is driven 125km west and 65km southwest. What is the displacement of the car from the point of origin (magnitude and dire...Asked by DJ
A car is driven 105 km west and then 30 km southwest. What is the displacement of the car from the point of origin (magnitude and direction)?
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Answered by
MathMate
Displacement is a vector. To find the displacement due to multiple legs of a trip, we sum the components (x,y) or (east,north) by resolving each leg into the respective components.
105 km west = (-105,0)
30 km SW = (30cos(225°),30sin(225°))
Sum each component to get the resultant components. The direction can be found with the tan<sup>-1</sup>(y/x) function.
Post your answer for a check if you wish.
105 km west = (-105,0)
30 km SW = (30cos(225°),30sin(225°))
Sum each component to get the resultant components. The direction can be found with the tan<sup>-1</sup>(y/x) function.
Post your answer for a check if you wish.
Answered by
KMack
7.58
Answered by
joe
-121.88
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