Physics-
General
Easy

Question

The velocity of a particle moving in a straight line varies with time in such a manner that v blank v e r s u s blank t graph is velocity is v subscript m end subscript and the total time of motion is t subscript 0 end subscript

i) Average velocity of the particle is fraction numerator pi over denominator 4 end fraction v subscript m end subscript
ii) such motion cannot be realized in practical terms

  1. Only (i) is correct    
  2. Only (ii) is correct    
  3. Both (i)and (ii) are correct    
  4. Both (i)and (ii) are wrong    

The correct answer is: Both (i)and (ii) are correct


    The displacement of the particle is determined by the area bounded by the curve. This area is
    s equals fraction numerator pi over denominator 4 end fraction v subscript m end subscript t subscript 0 end subscript
    The average velocity is
    less than v greater than equals fraction numerator s over denominator t subscript 0 end subscript end fraction equals fraction numerator pi over denominator 4 end fraction v subscript m end subscript
    Such motion cannot be realized in practical terms since at the initial and final moment, the acceleration (which is slope of v minus t) is infinitely large. Hence, both (i) and (ii) are correct.

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