Physics-
General
Easy

Question

If the velocity of a particle is open parentheses 10 plus 2 t to the power of 2 end exponent close parentheses m divided by s, then the average acceleration of the particle between 2 s and 5 s is

  1. 2 m divided by s to the power of 2 end exponent  
  2. 4 m divided by s to the power of 2 end exponent  
  3. 12 m divided by s to the power of 2 end exponent  
  4. 14 m divided by s to the power of 2 end exponent  

The correct answer is: 14 m divided by s to the power of 2 end exponent


    Average acceleration = fraction numerator C h a n g e blank i n blank v e l o c i t y over denominator T i m e blank t a k e n blank end fraction equals fraction numerator v subscript 2 end subscript minus v subscript 1 end subscript over denominator t subscript 2 end subscript minus t subscript 1 end subscript end fraction
    equals fraction numerator open square brackets 10 plus 2 open parentheses 5 close parentheses to the power of 2 end exponent close square brackets minus open square brackets 10 plus 2 open parentheses 2 close parentheses to the power of 2 end exponent close square brackets over denominator 3 end fraction equals fraction numerator 60 minus 18 over denominator 3 end fraction 14 m divided by s to the power of 2 end exponent

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