Would the line be curved or straight on a line graph to show the relationship between the final velocity of a dropped object before it to the ground in the height from which it dropped
The line would be curved on a line graph to show the relationship between the final velocity of a dropped object and the height from which it was dropped. This relationship is described by the laws of motion and gravity. As the height from which the object is dropped increases, the potential energy of the object increases. As the object falls, this potential energy is converted into kinetic energy, which increases the object's velocity. However, due to the effect of air resistance, the relationship between velocity and height will not be linear. Therefore, the line on the graph would be curved, reflecting the non-linear relationship between final velocity and height.
The line on a line graph showing the relationship between the final velocity of a dropped object and the height from which it was dropped would be straight.
This is because the final velocity of a dropped object depends solely on the height from which it was dropped, according to the laws of physics. The relationship between these two variables can be described by a linear equation. Therefore, when plotted on a line graph with the final velocity on the y-axis and the height on the x-axis, the resulting line would be straight.
To determine the shape of the line on a line graph that represents the relationship between the final velocity of a dropped object and the height from which it was dropped, we need to understand the physics behind the motion of a falling object.
When an object is dropped from a height, it accelerates due to gravity until it reaches the ground. The final velocity, in this case, refers to the velocity of the object just before it hits the ground.
The relationship between the final velocity and the height from which the object is dropped can be described by the laws of motion and the concept of free fall.
According to the equations of motion, when an object is in free fall, the final velocity can be calculated using the equation:
v² = u² + 2as
where:
v is the final velocity
u is the initial velocity (which is zero in this case since the object is dropped)
a is the acceleration due to gravity (which is approximately 9.8 m/s² near the Earth's surface)
s is the distance travelled (in this case, the height from which the object is dropped)
Rearranging the equation, we find:
v = √(2as)
From the equation, we can see that the final velocity is directly proportional to the square root of the height from which the object is dropped. This implies that as the height increases, the final velocity will also increase.
Now, to draw the line graph, we will set the height from which the object is dropped on the x-axis and the corresponding final velocity on the y-axis. Since the relationship is non-linear (square root function), the line on the graph will not be straight but curved.
As the height increases, the final velocity will increase, but the rate of increase will gradually decrease. Hence, the line on the graph will be curved, starting with a steeper slope and gradually flattening.