Physics-
General
Easy

Question

Starting from rest, acceleration of a particle is a equals 2 open parentheses t minus 1 close parentheses. The velocity of the particle at t equals 5 s is

  1. 15 blank m divided by s e c  
  2. 25 blank m divided by s e c  
  3. 5 blank m divided by s e c  
  4. None of these  

The correct answer is: 15 blank m divided by s e c


    because a equals fraction numerator d v over denominator d t end fraction equals 2 open parentheses t minus 1 close parentheses rightwards double arrow d v equals 2 left parenthesis t minus 1 right parenthesis d t
    rightwards double arrow v equals not stretchy integral subscript 0 end subscript superscript 5 end superscript 2 open parentheses t minus 1 close parentheses d t equals 2 open square brackets fraction numerator t to the power of 2 end exponent over denominator 2 end fraction minus t close square brackets subscript 0 end subscript superscript 5 end superscript equals 2 open square brackets fraction numerator 25 over denominator 2 end fraction minus 5 close square brackets blank equals 15 blank m divided by s

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