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https://sesson.masteringphysics com myct itemView?assignmentProblemID-83754389 Homework 3 Problem 3.01 Problem 3.01 What is the displacement of the car from the point of origin (magnitude)? Express your answer using three significant figures and include the appropriate units. A car is driven 215 km west and then 98 km southwest (459) D- Value Units Submit My Answers Give Up Incorrect; Try Again; 4 attempts remaining Part B What is the displacement of the car from the point of origin (direction)? Express your answer using three significant figures. south of west Submit My Answers Give Up Incorrect: Try Again; 5 attempts remaining

Explanation / Answer

Part A

Given,

Southwest 45 degree = Southwest (180 + 45 = 225 degree)

Southwest 225 degree (counter clockwise)

Sum the vector components:

Dx = 215* cos(180 degree)+ 98*cos(225 degree)

= -284.296 km

Dy = 215* sin(180 degree)+ 98*sin(225 degree)

= -69.296 km

Displacement,

sqrt(Dx^2 + Dy^2) = sqrt(284.296^2 + 69.296^2)

= 292.62 km

Part B

arctan(Dy/Dx) = arctan(69.296/284.296)

= 13.69 degree

arctan(Dy/Dx) = 180+13.69

= 193.69 degree (Counterclockwise)

13.69 degree South of West

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