Solved: A car is driven 225 km west and then 98 km

Chapter 3, Problem 3.1

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QUESTION:

A car is driven 225 km west and then 98 km southwest (45). What is the displacement of the car from the point of origin (magnitude and direction)? Draw a diagram.

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QUESTION:

A car is driven 225 km west and then 98 km southwest (45). What is the displacement of the car from the point of origin (magnitude and direction)? Draw a diagram.

ANSWER:

Step 1 of 3

Let the car starts from point O as shown in the diagram and travels a distance of  towards the west direction. It then travels a distance of  towards the south-west direction.

                   

From the diagram the  is a right-angled triangle, right-angled at .

Let, .

From the Pythagoras theorem:

                                                         

 

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