Mathematics
Grade10
Easy

Question

Write a quadratic function for the maximum height, if the initial velocity is 150 fraction numerator f t over denominator s end fraction , the initial height is 30 ft.

  1. 2 t squared plus 5 t plus 1    
  2. 30t + 150    
  3. negative 16 t squared plus 150 t plus 30    
  4. 0    

hintHint:

At maximum height the velocity becomes momentarily zero.

The correct answer is: negative 16 t squared plus 150 t plus 30


    The height of the shot (vertical motion model) = negative 16 t squared plus v subscript 0 t plus h subscript 0
    equals negative 16 t squared plus 150 cross times t plus 30
    equals negative 16 t squared plus 150 t plus 30
    Hence, the correct option is D.

    We have, h = ut - 1/2gt².

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