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 . Considering its motion from A to B, the magnitude of the average velocity is:
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.
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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.
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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.
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Divide the displacement by the time taken: Divide the displacement (in meters) by the time taken (in seconds) to find the average velocity.
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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.
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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.
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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.
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