Physics-
General
Easy

Question

A point particle starting from rest has a velocity that increase linearly with time such that v equals p t commawhere p equals 4 m s to the power of negative 2 end exponent. The distance covered in the first 2 s will be

  1. 6 m  
  2. 4 m  
  3. 8 m  
  4. 10 m  

The correct answer is: 8 m


    Given, v equals p t
    not stretchy integral subscript 0 end subscript superscript X end superscript d x equals p not stretchy integral from 0 to 2 of t blank d t
    equals fraction numerator p t to the power of 2 end exponent over denominator 2 end fraction equals fraction numerator 4 cross times 4 over denominator 2 end fraction equals 8m

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