To calculate the total displacement, we can use the Pythagorean theorem because the path you walked forms a right triangle. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Here are the steps:

1. Square the distance you walked east (3 km), which is 9 km².
2. Square the distance you walked north (4 km), which is 16 km².
3. Add these two values together: 9 km² + 16 km² = 25 km².
4. Take the square root of this sum to find the length of the hypotenuse. The square root of 25 km² is 5 km.

So, your total displacement is 5 km.

Question

To calculate the total displacement, we can use the Pythagorean theorem because the path you walked forms a right triangle. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Here are the steps:

1. Square the distance you walked east (3 km), which is 9 km².
2. Square the distance you walked north (4 km), which is 16 km².
3. Add these two values together: 9 km² + 16 km² = 25 km².
4. Take the square root of this sum to find the length of the hypotenuse. The square root of 25 km² is 5 km.

So, your total displacement is 5 km.

Knowee AI · Accepted Answer

To calculate the total displacement, we can use the Pythagorean theorem because the path you walked forms a right triangle. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Here are the steps:

1. Square the distance you walked east (3 km), which is 9 km².
2. Square the distance you walked north (4 km), which is 16 km².
3. Add these two values together: 9 km² + 16 km² = 25 km².
4. Take the square root of this sum to find the length of the hypotenuse. The square root of 25 km² is 5 km.

So, your total displacement is 5 km.

You walk 3 km east and then 4 km north. What is your total displacement?Group of answer choices

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