Physics-
General
Easy

Question

A body starts from rest from the origin with an acceleration of 6 blank m divided by s to the power of 2 end exponent along the x-axis and 8 blank m divided by s to the power of 2 end exponent along the y-axis. Its distance from the origin after 4 seconds will be

  1. 56 blank m  
  2. 64 blank m  
  3. 80 blank m  
  4. 128 blank m  

The correct answer is: 80 blank m


    S subscript x end subscript equals u subscript x end subscript t plus fraction numerator 1 over denominator 2 end fraction a subscript x end subscript t to the power of 2 end exponent rightwards double arrow S subscript x end subscript equals fraction numerator 1 over denominator 2 end fraction cross times 6 cross times 16 equals 48 blank m
    S subscript y end subscript equals u subscript y end subscript t plus fraction numerator 1 over denominator 2 end fraction a subscript y end subscript t to the power of 2 end exponent rightwards double arrow S subscript y end subscript equals fraction numerator 1 over denominator 2 end fraction cross times 8 cross times 16 equals 64 blank m
    S equals square root of S subscript x end subscript superscript 2 end superscript plus S subscript y end subscript superscript 2 end superscript end root equals 80 blank m

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