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A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure. Find the displacement of the motorcycle in km

Question

A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure. Find the displacement of the motorcycle in km.

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Solution

To find the displacement of the motorcycle, we need to consider the distance and direction traveled.

  1. First, let's identify the points P, Q, R, and S on the circular path.

  2. Next, we need to determine the distance traveled between each point. We can use a map or measure the distance using a measuring tool.

  3. Once we have the distances between each point, we can calculate the total distance traveled by adding up the individual distances.

  4. To find the displacement, we need to consider the direction. Since the motorcycle starts and ends at point P, the displacement is the straight-line distance from P to P.

  5. To calculate the displacement, we can use the Pythagorean theorem. The displacement is the square root of the sum of the squares of the distances traveled in the x and y directions.

  6. Finally, we can calculate the displacement in kilometers by converting the distance from the map or measuring tool into kilometers.

By following these steps, we can find the displacement of the motorcycle in kilometers.

This problem has been solved

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