Which 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?(1 point)
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This question cannot be accurately answered as the line graph options are not provided.
how do you want me to describe the line graph options
1. Which graph represents the relationship between final velocity of a dropped baseball, before striking the ground, and the starting height of the baseball?(1 point)
There are two possible relationships between the final velocity of a dropped object and the height from which it is dropped.
1. If there is no air resistance, the final velocity of the object is directly proportional to the square root of the height from which it is dropped. In this case, the line graph would show a positive linear relationship between the final velocity and the square root of the height.
2. If there is air resistance, the final velocity of the object will reach a terminal velocity and remain constant regardless of the height from which it is dropped. In this case, the line graph would show a horizontal line representing the constant final velocity.
So, the best line graph would depend on whether there is air resistance or not.
To determine which line graph best shows the relationship between the final velocity of a dropped object and the height from which it is dropped, you will need to understand the factors that affect this relationship.
The final velocity of a dropped object can be determined by considering the law of conservation of energy and the concept of free fall. When an object is dropped, it accelerates due to the force of gravity. The potential energy it possesses at the initial height is converted into kinetic energy as it falls. The final velocity of the object can be calculated using the equation:
v_final = sqrt(2gh)
Where:
- v_final is the final velocity
- g is the acceleration due to gravity (which is approximately 9.8 m/s^2 near the surface of the Earth)
- h is the height from which the object is dropped
Based on this equation, we can deduce that the final velocity of a dropped object is directly proportional to the square root of the height from which it is dropped.
Now, to determine the correct line graph, you need to look for a graph that shows a direct proportional relationship between the final velocity and the square root of the height. This means that as the height increases, the final velocity should also increase but at a slower rate.
Examining the graph options, you should choose the graph that depicts a linear relationship, where the slope gradually increases as the height increases. It's important to note that the slope should not be constant, as a constant slope would suggest the final velocity is directly proportional to the height, not the square root of the height.