Physics-
General
Easy

Question

Statement 1: A football whether kicked at 30 degree or 60 degree will strike the ground at the same place, although when kicked at 60 degree, it will remain longer in the air
Statement 2: Air resistance is more for larger angle

  1. Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1  
  2. Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1  
  3. Statement 1 is True, Statement 2 is False  
  4. Statement 1 is False, Statement 2 is True  

The correct answer is: Statement 1 is True, Statement 2 is False


    Time of flight, T equals fraction numerator 2 u subscript y end subscript over denominator g end fraction
    or u subscript y end subscript equals fraction numerator g T over denominator 2 end fraction equals fraction numerator 10 cross times 6 over denominator 2 end fraction equals 30 blank m s to the power of negative 1 end exponent
    Vertical velocity after 2 s comma blank v subscript y end subscript equals u subscript y end subscript minus g t
    equals 30 minus 10 cross times 2 equals 10 m s to the power of negative 1 end exponent
    Horizontal velocity after 2 blank s comma blank v subscript x end subscript equals u subscript x end subscript
    As per question, tan invisible function application 30 degree equals fraction numerator v subscript y end subscript over denominator v subscript x end subscript end fraction equals fraction numerator 10 over denominator u subscript x end subscript end fraction
    or u subscript x end subscript equals fraction numerator 10 over denominator tan invisible function application 30 degree end fraction equals 10 square root of 3 m s to the power of negative 1 end exponent
    therefore blank u equals square root of u subscript x end subscript superscript 2 end superscript plus u subscript y end subscript superscript 2 end superscript end root equals square root of open parentheses 10 square root of 3 close parentheses to the power of 2 end exponent plus open parentheses 30 close parentheses to the power of 2 end exponent end root
    equals 20 square root of 3 blank m s to the power of negative 1 end exponent

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