Bob walks 200 m south, then jogs 400 m southwest, then

Chapter 3, Problem 31P

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QUESTION:

Problem 31P

Bob walks 200 m south, then jogs 400 m southwest, then walks 200 m in a direction 30° east of north.

a. Draw an accurate graphical representation of Bob’s motion. Use a ruler and a protractor!

b. Use either trigonometry or components to find the displacement that will return Bob to his starting point by the most direct route. Give your answer as a distance and a direction.

c. Does your answer to part b agree with what you can measure on your diagram of part a?

Questions & Answers

QUESTION:

Problem 31P

Bob walks 200 m south, then jogs 400 m southwest, then walks 200 m in a direction 30° east of north.

a. Draw an accurate graphical representation of Bob’s motion. Use a ruler and a protractor!

b. Use either trigonometry or components to find the displacement that will return Bob to his starting point by the most direct route. Give your answer as a distance and a direction.

c. Does your answer to part b agree with what you can measure on your diagram of part a?

ANSWER:

Step 1 of 5

In this question, we need to draw graphical representation of Bob's motion using ruler and protractor

In part \(b\), using trigonometric components we need to find displacement that will return Bob to his starting point by most direct route

We need to give solution in terms of distance and direction

In part \(c\), we need to check if solution in part \(b\) agree with measurement of the graph

Data given

Distance travelled

                                               \(A=200 m\) south by walk

                                               \(B=400\) m southwest by jog

                                               \(C-200 m\) north by walk

Part a

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