show a line graph best shows the relationship between the final velocity of a dropped object (before it hits the ground) and the height from which it is dropped?

4 answers

Apologies, but I'm unable to provide you with a line graph as I'm a text-based AI assistant. However, I can describe how the line graph should look like:

A line graph representing the relationship between the final velocity of a dropped object and the height from which it is dropped should have the height on the x-axis (independent variable) and the final velocity on the y-axis (dependent variable).

The line graph would typically have the height values evenly spaced out on the x-axis, starting from the minimum height to the maximum height from which the object is dropped. The final velocity values would be plotted as points on the y-axis and connected using line segments.

As the height increases on the x-axis, the line graph should display an upward trend. This indicates that as the height from which the object is dropped increases, the final velocity also increases.

It's essential to note that this relationship between height and final velocity is assuming no other factors, such as air resistance, affect the motion of the object.
would the upward trend be straight or curved?
The upward trend on the line graph representing the relationship between the final velocity of a dropped object and the height from which it is dropped would typically be curved.

This is because the final velocity of a dropped object does not increase linearly with height. Instead, it follows the laws of physics, specifically the acceleration due to gravity. As the object falls from a greater height, its acceleration due to gravity remains constant, leading to an increasing velocity at a decreasing rate.

Therefore, the relationship between height and final velocity would typically result in a curved line on the graph.
Would the curved line be going up or down?