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As shown in the figure, a particle is moving with constant speed π m/s. Considering its motion from A to B, the magnitude of the average velocity is:

Question

As shown in the figure, a particle is moving with constant speed π m/s. Considering its motion from A to B, the magnitude of the average velocity is:

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Solution

To find the magnitude of the average velocity, we need to calculate the displacement of the particle from point A to point B and divide it by the time taken.

  1. Determine the displacement: The displacement is the straight-line distance between point A and point B. Measure this distance using the scale provided in the figure.

  2. Calculate the time taken: The time taken is not given in the question. If it is provided, use that value. Otherwise, you can assume a time interval, such as 1 second, for simplicity.

  3. Divide the displacement by the time taken: Divide the displacement (in meters) by the time taken (in seconds) to find the average velocity.

  4. Take the magnitude: Since the question asks for the magnitude of the average velocity, ignore the direction and consider only the numerical value. The magnitude is always positive.

  5. Substitute the given constant speed: In the question, it is mentioned that the particle is moving with a constant speed of π m/s. Substitute this value into the average velocity equation.

  6. Calculate the magnitude: Perform the necessary calculations to find the magnitude of the average velocity.

Remember to include the appropriate units in your final answer.

This problem has been solved

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