Physics-
General
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Question

A body A blankstarts from rest with an acceleration a subscript 1 end subscript. After 2 seconds, another body B blankstarts from rest with an acceleration a subscript 2 end subscript.If they travel equal distances in the 5th second, after the start of A, then the ration a subscript 1 end subscript colon a subscript 2 end subscript is equal to

  1. 5 blank colon 9  
  2. 5 blank colon 7  
  3. 9 blank colon 5  
  4. 9 blank colon 7  

The correct answer is: 5 blank colon 9


    According to problem
    Distance travelled by body A in 5 to the power of t h end exponent blank s e c and distance travelled by body B in3 to the power of r d end exponent blank s e c. of its motion are equal.
    0 plus fraction numerator a subscript 1 end subscript over denominator 2 end fraction open parentheses 2 cross times 5 minus 1 close parentheses equals 0 plus fraction numerator a subscript 2 end subscript over denominator 2 end fraction left square bracket 2 cross times 3 minus 1 right square bracket
    9 a subscript 1 end subscript equals 5 a subscript 2 end subscript rightwards double arrow fraction numerator a subscript 1 end subscript over denominator a subscript 2 end subscript end fraction equals fraction numerator 5 over denominator 9 end fraction

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