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A body covered a distance of 4 metre along a semicircular path. Calculate the magnitude of displacement of the body, and the ratio of distance to displacement?
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A body covered a distance of 4 metre along a semicircular path. Calcul...
Calculation of Displacement and Distance
- Given: Distance covered along a semicircular path = 4 meters

Magnitude of Displacement:
- The magnitude of displacement is the shortest distance between the initial and final positions of the body.
- In a semicircular path, the initial and final positions are diametrically opposite points.
- Therefore, the displacement of the body along a semicircular path is equal to the diameter of the circle.
- The diameter of the circle is twice the radius of the circle.
- Since the distance covered is along a semicircle, the displacement is equal to the diameter of the semicircle.
- Therefore, the magnitude of displacement = 2 * radius of the semicircle.

Ratio of Distance to Displacement:
- The ratio of distance to displacement is a measure of how much extra distance is covered compared to the shortest path between the initial and final positions.
- In this case, the distance covered is 4 meters and the displacement is 2 times the radius of the semicircle.
- The ratio of distance to displacement = Distance / Displacement.
- Substituting the given values, we get Ratio = 4 / (2 * radius).
- Simplifying further, Ratio = 2 / radius.
Therefore, the magnitude of displacement of the body is 2 times the radius of the semicircular path, and the ratio of distance to displacement is 2 divided by the radius of the semicircular path.
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A body covered a distance of 4 metre along a semicircular path. Calculate the magnitude of displacement of the body, and the ratio of distance to displacement?
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