A cyclist starts from the centre O of a circular park of radius 1 km, reaches the edge P of the park, then cycles along the circumference and returns to the centre along QO as shown in the figure. If the round trip takes 10 min., the net displacement and average speed of the cyclist (in m and km per hour) are

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0 , 21.4

0 , 1

21.4 , $\frac{π + 4}{2}$

$\frac{π + 4}{2}$ , 4

answer is D.

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Detailed Solution

Average speed = $\frac{(2 R + πR / 2) k m}{(1 / 6) h}$

=(12R + 3 $π$ R) km/h

=(12 + 3 $π$ ) km/h (as R= 1 km)

=21.4 km/h

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