Physics-
General
Easy

Question

A body is moving with uniform acceleration describes 40 blank m in the first 5 blank s e c and 65 blank m in next 5 blank s e c. Its initial velocity will be

  1. 4 blank m divided by s  
  2. 2.5 blank m divided by s  
  3. 5.5 blank m divided by s  
  4. 11 blank m divided by s  

The correct answer is: 5.5 blank m divided by s


    because S subscript 1 end subscript equals u t plus fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent blank left parenthesis i right parenthesis
    and velocity after first t blank s e c
    v equals u plus a t

    Now, S subscript 2 end subscript equals v t plus fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent
    equals open parentheses u plus a t close parentheses t plus fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent blank left parenthesis i i right parenthesis
    Equation open parentheses i i close parentheses minus open parentheses i close parentheses rightwards double arrow S subscript 2 end subscript minus S subscript 1 end subscript equals a t to the power of 2 end exponent
    rightwards double arrow a equals fraction numerator S subscript 2 end subscript minus S subscript 1 end subscript over denominator t to the power of 2 end exponent end fraction equals fraction numerator 65 minus 40 over denominator open parentheses 5 close parentheses to the power of 2 end exponent end fraction equals 1 m divided by s to the power of 2 end exponent
    From equation (i), we get,
    S subscript 1 end subscript equals u t plus fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent rightwards double arrow 40 equals 5 u plus fraction numerator 1 over denominator 2 end fraction cross times 1 cross times 25
    rightwards double arrow 5 u equals 27.5 blank therefore u equals 5.5 blank m divided by s

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