Physics-
General
Easy

Question

A body is at rest at x equals 0. At t equals 0 comma it starts moving in the positive x minusdirection with a constant acceleration. At the same instant another body passes through x equals 0 moving in the positive x minusdirection with a constant speed. The position of the first body is given by x subscript 1 end subscript open parentheses t close parentheses after time t and that of the second body by x subscript 2 end subscript open parentheses t close parentheses after the same time interval. Which of the following graphs correctly describes open parentheses x subscript 1 end subscript minus x subscript 2 end subscript close parentheses as a function of time t ?

  1.    
  2.    
  3.    
  4.    

The correct answer is:


    There, x subscript 2 end subscript equals v t a n d blank x subscript 1 end subscript equals fraction numerator a t to the power of 2 end exponent over denominator 2 end fraction
    x subscript 1 end subscript minus x subscript 2 end subscript equals negative open parentheses v t minus fraction numerator a t to the power of 2 end exponent over denominator 2 end fraction close parentheses
    So, the graph would be like.

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