The relationship between the final velocity of a dropped baseball just before it strikes the ground and its starting height can be represented with a graph that shows a direct correlation.
When an object is dropped from a height, its final velocity just before impacting the ground increases as the starting height increases due to the acceleration from gravity. The final velocity can be calculated using the equation derived from the laws of motion:
\[ v = \sqrt{2gh} \]
Where:
- \( v \) is the final velocity,
- \( g \) is the acceleration due to gravity (approximately \( 9.81 , m/s^2 \)),
- \( h \) is the height from which the object is dropped.
This means that if you were to plot height (h) on the x-axis and final velocity (v) on the y-axis, the graph would be a curve that rises steeply (specifically, it would be a square root function), indicating that as the height increases, the final velocity also increases.
If you have specific graph options, please provide them, and I can help determine which one best represents this relationship.
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