Physics-
General
Easy

Question

A body is moving with uniform acceleration covers 200 m in the first 2 s and 220 m in the next 4 s. find the velocity in m s to the power of negative 1 end exponent after 7 s.

  1. 10  
  2. 15  
  3. 20  
  4. 30  

The correct answer is: 10


    Le the initial velocity equals u
    And acceleration equals a
    In Ist cases subscript 1 end subscript equals u t subscript 1 end subscript plus fraction numerator 1 over denominator 2 end fraction blank a t subscript 1 end subscript superscript 2 end superscript
    200 equals 2 u plus 2 a blank open parentheses because t subscript 1 end subscript equals 2 blank s close parentheses
    Or blank u plus a equals 100 blank open parentheses i close parentheses
    In IInd case
    s subscript 2 end subscript equals u t subscript 2 end subscript plus fraction numerator 1 over denominator 2 end fraction blank a t subscript 2 end subscript superscript 2 end superscript
    420 equals 6 u plus 18 a blank open parentheses because t subscript 2 end subscript equals 2 plus 4 equals 6 blank s close parentheses
    Or 3 a plus u equals 70 blank open parentheses i i close parentheses
    Solving Eqs. (i) and (ii), we get
    a equals negative 15 blank m s to the power of negative 2 end exponent
    And blank u equals 115 blank m s to the power of negative 1 end exponent
    v equals u plus a t
    equals 115 minus 15 cross times 7 equals 10 blank m s to the power of negative 1 end exponent

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