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A girl walks from her home to a friend’s home 3 blocks north. She then walks 2 blocks east to the post office. 1 block north to the library, and one block east to the park. From the park, she walks 2 blocks west to the movie theater. After the movie, she walks 4 blocks south to the pet store. What is the girls displacement from her starting point to the pet store? Where is the location of the pet store in relation to her home? Calculate the distance she walked in blocks.

User Siniradam
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To calculate the girl's displacement from her starting point to the pet store, we need to determine the distance and direction between the two locations. We can use a coordinate system to represent the girl's movements:

Starting point (0,0)
Friend's house (0,3)
Post office (2,3)
Library (2,4)
Park (3,4)
Movie theater (1,4)
Pet store (1,0)
To calculate the displacement, we can use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In this case, the displacement is the hypotenuse of a right triangle with legs of 1 block east and 3 blocks south:

Displacement = √((1^2) + (3^2)) = √10 ≈ 3.16 blocks

Therefore, the girl's displacement from her starting point to the pet store is approximately 3.16 blocks in a direction that is 270 degrees (south) from her starting point.

The location of the pet store in relation to her home is 1 block east and 3 blocks south.

To calculate the distance she walked, we can add up the lengths of each segment of her journey:

Home to friend's house: 3 blocks north
Friend's house to post office: 2 blocks east
Post office to library: 1 block north
Library to park: 1 block east
Park to movie theater: 2 blocks west
Movie theater to pet store: 4 blocks south
Total distance walked = 3 + 2 + 1 + 1 + 2 + 4 = 13 blocks

Therefore, the girl walked a total of 13 blocks.
User Iamsujit
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