Physics-
General
Easy

Question

The range of particle when launched at an angle 15 degree with the horizontal is 1.5 km. What is the range of projectile when launched at an angle of 45 degree to the horizontal?

  1. 3.0 km  
  2. 1.5 km  
  3. 6.0 km  
  4. 0.75 km  

The correct answer is: 3.0 km


    T h e blank h o r i z o n t a l blank r a n g e blank R subscript x end subscript equals fraction numerator u to the power of 2 end exponent sin invisible function application 2 theta over denominator g end fraction
    When projected at angle of 15 degree
    R subscript x 1 end subscript equals fraction numerator u to the power of 2 end exponent over denominator g end fraction sin invisible function application open parentheses 2 cross times 15 close parentheses equals fraction numerator u to the power of 2 end exponent over denominator 2 g end fraction equals 1.5 k m
    When projected at angle of 45 degree
    R subscript x 1 end subscript equals fraction numerator u to the power of 2 end exponent over denominator g end fraction sin invisible function application open parentheses 2 cross times 45 degree close parentheses fraction numerator u to the power of 2 end exponent over denominator g end fraction
    equals fraction numerator 2 u to the power of 2 end exponent over denominator 2 g end fraction equals 2 cross times 1.5 equals 3.0 blank k m

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