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luda_lava [24]
3 years ago
10

How is this equation completed? I cannot find any examples in the book.

Mathematics
1 answer:
djverab [1.8K]3 years ago
7 0

Answer: Option D

t_{max} =19\ s

Step-by-step explanation:

Note that the projectile height as a function of time is given by the quadratic equation

h = -12t ^ 2 + 456t

To find the maximum height of the projectile we must find the maximum value of the quadratic function.

By definition the maximum value of a quadratic equation of the form

at ^ 2 + bt + c is located on the vertex of the parabola:

t_{max}= -\frac{b}{2a}

Where a

In this case the equation is: h = -12t ^ 2 + 456t

Then

a=-12\\b=456\\c=0

So:

t_{max} = -\frac{456}{2*(-12)}

t_{max} =19\ s

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