Final answer:
The resultant displacement of the dog is approximately 26.93 m.
Step-by-step explanation:
To find the resultant displacement, we can use the Pythagorean theorem. the world line of a particle provides a broader perspective in spacetime. A stationary particle has a world line that is a vertical line parallel to the time axis, while the world line for a particle with constant velocity is a straight line inclined to the time The dog walks 10.0 m east and 25 m south, forming a right triangle. The eastward displacement of 10.0 m and the southward displacement of 25 m are the two legs of the triangle. Using the Pythagorean theorem, the hypotenuse (resultant displacement) can be calculated as:
Resultant displacement = √(10.0^2 + 25^2) = √(100 + 625) = √725 ≈ 26.93 m.
Therefore, the dog's resultant displacement is approximately 26.93 m.