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Answer:
The bird will be at a ground distance of 10.04 units away.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
It's vertex is the point
In which
Where
If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is
.
Equation for the height:
The height of the bird after x seconds is given by:
Which is a quadratic equation with .
When the bird is at its highest?
Quadratic equation with , and thus, at the vertex. The ground distance is the x-value of the vertex. Thus
The bird will be at a ground distance of 10.04 units away.