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General
Easy

Question

The time taken by the projectile to reach from A to B is t comma then the distance A B is equal to

  1. 2 blank u t    
  2. square root of 3 blank u t    
  3. fraction numerator square root of 3 over denominator 2 end fraction u t    
  4. fraction numerator u t over denominator square root of 3 end fraction    

The correct answer is: fraction numerator u t over denominator square root of 3 end fraction


    Horizontal component of velocity at A

    v subscript H end subscript equals u cos invisible function application 60 degree equals fraction numerator u over denominator 2 end fraction blank therefore A C equals u subscript H end subscript cross times t equals fraction numerator u t over denominator 2 end fraction
    A B equals A C sec invisible function application 30 degree equals fraction numerator u t over denominator 2 end fraction cross times fraction numerator 2 over denominator square root of 3 end fraction equals fraction numerator u t over denominator 2 end fraction

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