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Physics-

General

Easy

Question

A cyclist starts from the centre $O$ of a circular park of radius one kilometre, reaches the edge $P$ of the park, then cycles along the circumference and returns to the centre along $Q O$ as shown in figure. If the round trip takes ten minutes, the net displacement and average speed of the cyclist (in metre and kilometre per hour) is

$0, 1$
$\frac{π + 4}{2}, 0$
$21.4, \frac{π + 4}{2}$
$0, 21.4$

The correct answer is: $0 comma blank 21.4$

Net displacement $equals 0$ and total distance $equals O P plus P Q plus Q O$
$equals 1 plus fraction numerator 2 pi cross times 1 over denominator 4 end fraction plus 1 equals fraction numerator 14.28 over denominator 4 end fraction blank k m$
Average speed $blank equals fraction numerator 14.28 over denominator 4 cross times 10 divided by 60 end fraction$
$equals fraction numerator 6 cross times 14.28 over denominator 4 end fraction equals 21.42 blank k m divided by h$

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