Physics-
General
Easy

Question

If a stone s to hit at a point which is at a distance d away and at a height h above the point from where the stone starts, then what is the value of initial sped u, if the stone is launched at an angle Q?

  1. fraction numerator g over denominator cos invisible function application theta end fraction square root of fraction numerator d over denominator 2 left parenthesis d tan invisible function application theta minus h right parenthesis end fraction end root    
  2. fraction numerator d over denominator cos invisible function application theta end fraction square root of fraction numerator g over denominator 2 left parenthesis d tan invisible function application theta minus h right parenthesis end fraction end root    
  3. square root of fraction numerator g d to the power of 2 end exponent over denominator h cos to the power of 2 end exponent invisible function application theta end fraction end root    
  4. square root of fraction numerator g d to the power of 2 end exponent over denominator left parenthesis d minus h right parenthesis end fraction end root    

The correct answer is: fraction numerator d over denominator cos invisible function application theta end fraction square root of fraction numerator g over denominator 2 left parenthesis d tan invisible function application theta minus h right parenthesis end fraction end root


    h equals open parentheses u sin invisible function application theta close parentheses t minus fraction numerator 1 over denominator 2 end fraction g t to the power of 2 end exponent
    d equals open parentheses u cos invisible function application theta close parentheses t blank o r blank t equals fraction numerator d over denominator u cos invisible function application theta end fraction
    h equals u sin invisible function application theta. fraction numerator d over denominator u cos invisible function application theta end fraction minus fraction numerator 1 over denominator 2 end fraction g. fraction numerator d to the power of 2 end exponent over denominator u to the power of 2 end exponent cos to the power of 2 end exponent invisible function application theta end fraction
    u equals fraction numerator d over denominator cos invisible function application theta end fraction square root of fraction numerator g over denominator 2 left parenthesis d tan invisible function application theta minus h right parenthesis end fraction end root

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