Radial acceleration.
The velocity time graph usually shows only radial velocity. That is the component of the velocity in the direction towards or away from the reference point (the origin). It does not record information on any transverse component.
It may be easier to understand this argument in the context of a distance time graph. What is the graph of an object going around the origin at a constant speed? The distance is the same all the time and so the graph will be a flat line. But a flat line is supposed to mean the object is stationary! The problem is that it is moving but not in the radial direction - not towards or away from the origin. The distance time graph therefore does not register any movement and so the object is shown to be stationary.
Radial acceleration.
The velocity time graph usually shows only radial velocity. That is the component of the velocity in the direction towards or away from the reference point (the origin). It does not record information on any transverse component.
It may be easier to understand this argument in the context of a distance time graph. What is the graph of an object going around the origin at a constant speed? The distance is the same all the time and so the graph will be a flat line. But a flat line is supposed to mean the object is stationary! The problem is that it is moving but not in the radial direction - not towards or away from the origin. The distance time graph therefore does not register any movement and so the object is shown to be stationary.
Radial acceleration.
The velocity time graph usually shows only radial velocity. That is the component of the velocity in the direction towards or away from the reference point (the origin). It does not record information on any transverse component.
It may be easier to understand this argument in the context of a distance time graph. What is the graph of an object going around the origin at a constant speed? The distance is the same all the time and so the graph will be a flat line. But a flat line is supposed to mean the object is stationary! The problem is that it is moving but not in the radial direction - not towards or away from the origin. The distance time graph therefore does not register any movement and so the object is shown to be stationary.
Radial acceleration.
The velocity time graph usually shows only radial velocity. That is the component of the velocity in the direction towards or away from the reference point (the origin). It does not record information on any transverse component.
It may be easier to understand this argument in the context of a distance time graph. What is the graph of an object going around the origin at a constant speed? The distance is the same all the time and so the graph will be a flat line. But a flat line is supposed to mean the object is stationary! The problem is that it is moving but not in the radial direction - not towards or away from the origin. The distance time graph therefore does not register any movement and so the object is shown to be stationary.
Radial acceleration.
The velocity time graph usually shows only radial velocity. That is the component of the velocity in the direction towards or away from the reference point (the origin). It does not record information on any transverse component.
It may be easier to understand this argument in the context of a distance time graph. What is the graph of an object going around the origin at a constant speed? The distance is the same all the time and so the graph will be a flat line. But a flat line is supposed to mean the object is stationary! The problem is that it is moving but not in the radial direction - not towards or away from the origin. The distance time graph therefore does not register any movement and so the object is shown to be stationary.
If velocity is constant, the slope of the graph on a position vs. time graph will be a straight line. The slope of this line will represent the constant velocity of the object.
The slope of a position-time graph represents the average velocity of an object. It does not represent the rate of change of velocity, which would be represented by the slope of a velocity-time graph.
A straight line with a positive slope could represent the velocity versus time graph of a motorcycle whose speed is increasing.
Yes!
The slope of a speed-time graph represents acceleration. A steeper slope indicates a greater rate of change in speed, which means higher acceleration. Conversely, a shallower slope indicates lower acceleration.
The slope of a line on a position vs. time graph would represent the a velocity of the object being described.
The slope of a velocity-time graph represents acceleration.
The slope of a velocity-time graph represents acceleration.
velocity.
If velocity is constant, the slope of the graph on a position vs. time graph will be a straight line. The slope of this line will represent the constant velocity of the object.
The slope of the speed/time graph is the magnitude of acceleration. (It's very difficult to draw a graph of velocity, unless the direction is constant.)
The slope of a position-time graph represents the average velocity of an object. It does not represent the rate of change of velocity, which would be represented by the slope of a velocity-time graph.
The rate of Change in acceleration.
instantaneous magnitude of velocity
The rate of change in accelleration.
The slope of a position-time graph represents the velocity of an object. A steeper slope indicates a higher velocity, while a flatter slope indicates a lower velocity. Positive slopes represent motion in one direction, negative slopes represent motion in the opposite direction, and a horizontal line represents an object at rest.
A position time graph can show you velocity. As time changes, so does position, and the velocity of the object can be determined. For a speed time graph, you can derive acceleration. As time changes, so does velocity, and the acceleration of the object can be determined.If you are plotting velocity (speed) versus time, the slope is the acceleration.