Answer :
The height has to change by a factor of 1.
What is the height?
We can obtain the height from which the object falls using the equations of kinematics under gravity. We can see that the object was dropped from a height thus u = 0 m/s.
We can the write;
v= √2gh
h1 = v^2/2g
When the final velocity is doubled, we have;
2v= √2gh
h2 =4v^2/2g
h2 = 2v^2/g
The height changes by;
2v^2/g - v^2/2g = v^2/g
Thus the height has to change by a factor of 1.
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