A BODY COVERED A DISTANCE Y METERS ALONG A SEMICIRCULAR PATH. CALCULATE THE MAGNITUDE OF DISPLACEMENT OF THE BODY AND THE RATIO OF DISTANCE AND DISPLACEMENT.
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R = radius of circular arc
The length of the arc in a semi circle: π R
Distance traveled = π R = Y meters => R = Y / π meters
Displacement is the length of the diameter = 2 R = 2 Y / π meters
Ratio = Y / [ 2 Y / π ] = π / 2
The length of the arc in a semi circle: π R
Distance traveled = π R = Y meters => R = Y / π meters
Displacement is the length of the diameter = 2 R = 2 Y / π meters
Ratio = Y / [ 2 Y / π ] = π / 2
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