SOLUTION: The distance a person falls on a bungee chord in metres, h may be modelled with time, t in seconds according to: h=2(t-5)^2-50 What is the greatest distance a person will reach

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Question 1077585: The distance a person falls on a bungee chord in metres, h may be modelled with time, t in seconds according to:
h=2(t-5)^2-50
What is the greatest distance a person will reach on the bungee chord from their starting position?

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

The distance a person falls on a bungee chord in meters, may be modeled with time, in seconds according to:

What is the greatest distance a person will reach on the bungee chord from their starting position?
recall: The distance the bungee jumper falls corresponds to the point in the fall.
in your case, , we have an upside-down parabola because the leading coefficient is negative, and its point is (I put to make it different from distance ) which is its vertex
equation in vertex form
since you are given in vertex form, you see that and
so, the vertex is at (,) and the greatest distance a person will reach on the bungee chord from their starting position is


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