Ant on a page An ant walks due east at a constant speed of

Chapter 9, Problem 70E

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QUESTION:

Ant on a page An ant is walking due east at a constant speed of 2 hr on a sheet of paper that rests on a table. Suddenly the sheet of paper starts moving southeast at \(\sqrt{2} \mathrm{mi} / \mathrm{hr}\). Describe the motion of the ant relative to the table.

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QUESTION:

Ant on a page An ant is walking due east at a constant speed of 2 hr on a sheet of paper that rests on a table. Suddenly the sheet of paper starts moving southeast at \(\sqrt{2} \mathrm{mi} / \mathrm{hr}\). Describe the motion of the ant relative to the table.

ANSWER:

Solution 70E

Step 1 of 1 :

In this problem  we need to describe the motion of the ant relative to the table when the sheet of paper starts moving southeast at  mi/ hr.

Given that an ant is walking due east at a constant speed of  2 mi/hr on a sheet of paper that rests on a table.

                                   

The magnitude of the motion of the ant relative to the table is ;

                                  , since from cosine rule.

 

                             =  , since cos(.

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