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The path that Gloria follows when she jumped is a path of parabola.
The equation of the parabola that describes the path of her jump is
The given parameters are:
<em>Assume she starts from the origin (0,0)</em>
The midpoint would be:
So, the vertex of the parabola is:
Express properly as:
A point on the graph would be:
The equation of a parabola is calculated using:
Substitute in
Substitute in
Collect like terms
Solve for a
Simplify
Substitute in
Hence, the equation of the parabola that describes the path of her jump is
See attachment for the graph
Read more about equations of parabola at:
