What variable does slope represent in a velocity vs time graph?

Answer 1

The Physical quantity that the slope of velocity time graph show is:

negative acceleration otherwise retardation.

If the velocity of the body is decreasing then the body is said to have negative acceleration (-ve) or retardation.

u>v

Answer 2

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.

Answer 3

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.

Answer 4

The slope of a velocity-versus-time graph represents the acceleration of the object.

Answer 5

The slope of velocity with respect to time represents acceleration.

Answer 6

The slope of a velocity vs. time graph represents the rate of change of velocity, or acceleration. A steeper slope indicates a higher acceleration, while a flat slope indicates a constant velocity.

Answer 7

Acceleration.

Answer 8

The acceleration.