In general, the final velocity of a dropped object just before it hits the ground relates to the height from which it is dropped due to the principles of gravitational acceleration. The relationship is typically described by the formula derived from the conservation of energy or kinematics:
\[ v = \sqrt{2gh} \]
where \( v \) is the final velocity, \( g \) is the acceleration due to gravity (approximately \(9.81 , \text{m/s}^2\)), and \( h \) is the height from which the object is dropped.
This equation shows that the final velocity increases as the square root of the height, indicating that velocity is proportional to the square root of height.
On a line graph, you would expect to see:
- The x-axis representing height (h).
- The y-axis representing final velocity (v).
- The graph would display a curve that rises steeply at first and then flattens out, depicting the square root relationship.
If you have multiple line graphs to choose from, look for one that demonstrates this characteristic: a curve that starts near the origin and gradually approaches higher values more slowly as height increases.
If you have specific graph options available, I could help further narrow down which one fits this description.
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