Question

Find the ratio of the distance covered to the displacement by a body along a semi circle of raduus r

Answer 1

$\huge\underline\green{\sf Answer}$

$\large{\boxed{\sf Distance:Displacement= \pi : 2}}$

$\huge\underline\green{\sf Solution}$

Given :-

Circumference of circle = 2πr

Distance travelled (half the circumference) = 2πr / 2 = πr

The body has moved from one side of the circle to the opposite side. So the magnitude of displacement equals the diameter = 2r

Therefore ,

$\large{\sf Distance:Displacement = \pi r:2r}$

$\large{\boxed{\sf Distance:Displacement = \pi :2}}$

Answer 2

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Refer to the attachment❤