A point traversed half a circle of radius $r$ during a time interval $t_{0}$ its mean speed and magnitude of mean velocity are:

\frac{π r}{t_{0}}, \frac{r}{t_{0}}

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\frac{2 π r}{t_{0}}, \frac{2 r}{t_{0}}

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\frac{π r}{t_{0}}, \frac{2 r}{t_{0}}

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\frac{2 π r}{t_{0}}, \frac{r}{t_{0}}

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Solution

The correct option is C $\frac{π r}{t_{0}}, \frac{2 r}{t_{0}}$
$(C)$
$t i m e = t_{0}$
$d i s t a n c e = π r$ , $d i s p l a c e m e n t = 2 r$
$m e a n s p e e d = \frac{d i s t a n c e}{t i m e} = \frac{π r}{t_{0}}$
$m e a n v e l o c i t y = \frac{d i s p l a c e m e n t}{t i m e} = \frac{2 r}{t_{0}}$

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