Physics-
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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

  1. 0 comma blank 1    
  2. fraction numerator pi plus 4 over denominator 2 end fraction comma blank 0    
  3. 21.4 comma fraction numerator pi plus 4 over denominator 2 end fraction    
  4. 0 comma blank 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 speedblank 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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