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In one second a particle goes from point A to a point B moving in a semicircle.            What is the magnitude of average velocity? (in m/s)

Question

In one second a particle goes from point A to a point B moving in a semicircle.            What is the magnitude of average velocity? (in m/s)

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Solution

To calculate the magnitude of average velocity, we need to know the displacement (the shortest distance from the initial to the final position) and the time it takes for the particle to move from point A to point B.

In this case, the particle is moving along a semicircle from point A to point B. However, the displacement is a straight line from point A to point B, which is the diameter of the semicircle.

Unfortunately, without knowing the radius (or diameter) of the semicircle, we cannot calculate the exact magnitude of the average velocity.

If we knew the radius (r), the displacement (d) would be 2r (since the diameter is twice the radius), and the time (t) is given as 1 second.

The formula for average velocity is displacement/time, so the average velocity (v) would be 2r/1 = 2r m/s.

So, we need the radius of the semicircle to calculate the magnitude of the average velocity.

This problem has been solved

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