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ProfessorRadial 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.
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If the velocity is constant describe the slope of the graph on a position vs. time graph.?
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.
Does the slope of a position time graph represent average velocity or rate of change of velocity?
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.
Is acceleration the slope of the velocity vs. Time graph?
Yes!
What figure could represent the velocity versus time graph of a motorcycle whose speed is increasing?
A straight line with a positive slope could represent the velocity versus time graph of a motorcycle whose speed is increasing.
How to find the velocity of a position-time graph?
To find the velocity of a position-time graph, you calculate the slope of the graph at a specific point. The slope represents the rate of change of position with respect to time, which is the velocity. The steeper the slope, the greater the velocity.
