Physics-
General
Easy

Question

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

  1. 0 comma blank 1  
  2. fraction numerator pi plus 4 over denominator 2 end fraction comma blank 0  
  3. 214 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


    Since, the initial position of cyclist coincides with final position, so his net displacement is zero.
    A v e r a g e blank s p e e d equals fraction numerator t o t a l blank d i s t a n c e blank t r a v e l l e d over denominator t o t a l blank t i m e blank t a k e n end fraction
    equals fraction numerator O P plus P Q plus Q O over denominator 10 end fraction k m blank m i n to the power of negative 1 end exponent
    equals fraction numerator 1 plus fraction numerator pi over denominator 2 end fraction cross times 1 plus 1 over denominator 10 end fraction k m blank m i n to the power of negative 1 end exponent
    equals fraction numerator pi plus 4 over denominator 20 end fraction cross times 60 blank k m h to the power of negative 1 end exponent equals 21.4 blank k m h to the power of negative 1 end exponent

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