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  4. 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 QO 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.........

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Q. 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 $QO$ 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.........Physics Question Image

KCETKCET 2006

Solution:

Since, the initial position of cyclist coincides with final position, so his net displacement is zero.
Average speed $=\frac{\text { total distance travelled }}{\text { total time taken }} $
$=\frac{O P+P Q+Q O}{10} km / min $
$=\frac{1+\frac{\pi}{2} \times 1+1}{10} km / min $
$=\frac{\pi+4}{20} \times 60 km / h $
$=21.4 \,km / h$