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
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.
The slope of a velocity-versus-time graph represents the acceleration of the object.
The slope of velocity with respect to time represents acceleration.
Acceleration.
The acceleration.
The slope of a velocity-time graph represents acceleration.
The tangent at a point on the position-time graph represents the instantaneous velocity. 1. The tangent is the instantaneous slope. 2. Rather than "average" velocity, the slope gives you "instantaneous" velocity. The average of the instantaneous gives you average velocity.
magnitude of acceleration at every point on the graph
Yes it does. Velocity = Displacement / Time. On a graph of displacement vs time, the slope is the velocity. Steeper slope = higher velocity, flatter slope = lower velocity.
the slope at any point on the graph is the 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.
The slope of a velocity-time graph represents acceleration.
velocity.
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.)
Tangent of the slope at any point = velocity
The rate of Change in acceleration.
instantaneous magnitude of velocity
The rate of change in accelleration.
Slope of time Vs distance graph gives the inverse of velocity.
The tangent at a point on the position-time graph represents the instantaneous velocity. 1. The tangent is the instantaneous slope. 2. Rather than "average" velocity, the slope gives you "instantaneous" velocity. The average of the instantaneous gives you average velocity.