A car is driven 225 km west and then 98 km southwest (45). Part A What is the di

Question

A car is driven 225 km west and then 98 km southwest (45).

Part A

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.

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Part B

What is the displacement of the car from the point of origin (direction)?

Express your answer using three significant figures.

A car is driven 225 km west and then 98 km southwest (45).

Part A

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.

D =

SubmitMy AnswersGive Up

Part B

What is the displacement of the car from the point of origin (direction)?

Express your answer using three significant figures.

=

Explanation / Answer

displacement r1=(x1)i+(y1)j

r1=(-225)i+0*j

and

displacement r2=(x2)i+(y2)j

r2=(98*cos(180+45))i+(98*cos(180+45))j

r2=(-69.3)i+(-69.3)j

resultant displacement r=r1+r2

r=(-225)i+0*j+(-69.3)i+(-69.3)j

r=(-294.3)i+(-69.3)j

A)

magnitude of displacement r=sqrt((-294.3)^2+(-69.3)^2)

=302.35 m

B)

direction, tan(theta)=(-69.3)/(-294.3)

===> theta=13.25 degrees,

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