Question 15 (1 point)
Which of the graphs best represents the relationship between the final velocity of a dropped object, before striking the ground, and the starting height of the object?
a
b
c
d
The best graph that represents the relationship between the final velocity of a dropped object and the starting height of the object is graph a.
In order to determine which graph best represents the relationship between the final velocity of a dropped object and the starting height, we need to consider the physics principles involved.
When an object is dropped from a certain height, it will accelerate due to the force of gravity until it reaches the ground. The final velocity of the object just before it strikes the ground depends on the starting height.
Based on these principles, the graph that best represents the relationship between the final velocity and the starting height is graph c. This is because as the starting height of the object increases, the final velocity also increases. This is consistent with the fact that objects that fall from greater heights will have a higher final velocity upon impact.
Therefore, graph c depicts the correct relationship between the final velocity and the starting height of a dropped object.
To determine which graph best represents the relationship between the final velocity of a dropped object and its starting height, we need to understand the relationship between these two variables.
When an object is dropped, it accelerates due to gravity until it reaches its maximum velocity just before it hits the ground. The final velocity of the object will depend on how high it was dropped from. Higher starting heights will result in higher final velocities.
Based on this understanding, we can eliminate Graphs a and d because they show a constant final velocity regardless of the starting height. This contradicts our understanding that higher starting heights result in higher final velocities.
Now, let's compare Graphs b and c to determine which one represents the relationship accurately. Graph b shows a linear relationship between starting height and final velocity, where the final velocity increases as the starting height increases. This corresponds to our understanding and is the correct representation.
Therefore, the graph that best represents the relationship between the final velocity of a dropped object and the starting height is Graph b.