A dog walks 6 m to his food bowl and then turns right and walks 8 meters to his doghouse. If the dog's final position is due east of his initial position, what is the displacement of the dog?

Question

Physics

Duncan Cordova

5 September, 21:04

A dog walks 6 m to his food bowl and then turns right and walks 8 meters to his doghouse. If the dog's final position is due east of his initial position, what is the displacement of the dog?

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Peyton Sloan · Answer 1

10 meters. Use vectors to represent distances. His path forms a right triangle. Then use the pythagorean theorem (a²+b²=c²) to solve for the displacement.

6²+8²=10²