The average acceleration can be obtained by finding the slope of the graph.
The instantaneous acceleration is found by drawing a tangent to a particular point on the graph (instant) and finding the slope of than tangent.
The area under an acceleration-time graph is equal to the object's velocity (not change in velocity).
An object moving with uniform acceleration has a uniform change in velocity over time, and its velocity-time graph will be a straight line with either a positive or negative slope. An object moving with no acceleration has constant velocity, and its velocity-time graph will be a straight, horizontal line with zero slope. Refer to the related link for illustrations.
The rate of acceleration is a measure of the change of the velocity of an object with time. On a graph of velocity versus time, it is represented by the slope of the line so graphed. If velocity is changing in time, the object described is being accelerated. The greater the slope of the graph, the greater the change of velocity per unit of time and the greater the acceleration of that object. true
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.
acceleration
It shows the object's acceleration or deceleration.
Your acceleration vs. Time graph is the slope of your velocity vs. time graph
The slope of a velocity-time graph that shows uniform acceleration is the actual acceleration. Instantaneous velocity is the velocity of a body at a particular moment in time.
Velocity is NOT the slope of the acceleration vs. time graph. Velocity is the area under the acceleration vs. time graph. Velocity is the slope of a position vs. time graph, though. For you Calculus Junkies, v = the integral of acceleration with respect to time.
Normally a position-time graph is actually a distance-time graph where the distance of an object is measured from a fixed point called the origin. The slope (gradient) of the graph is the radial velocity - or the component of the velocity in the radial direction - of the object. That is, the component of the object's velocity in the direction towards or away from the origin. Such a graph cannot be used to measure the component of the velocity at right angles to the radial direction. In particular, an object going around in a circle would appear t have no velocity since its distance from the origin remains constant.
the gradient of the graph
That an object is losing speed. It is experiencing negative acceleration.