The simplest answer is the velocity of an object at a given time.
It is also possible to determine the acceleration and displacement - but only in the same direction as the velocity. No information on motion in a transverse direction can be determined.
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.
The displacement of an object from a velocity-time graph can be determined by finding the area under the velocity-time graph. For example, the displacement over a certain time interval can be calculated by finding the area of the corresponding region under the velocity-time graph. This can be done by calculating the area of the trapezoid or rectangle formed by the graph.
The velocity of an object can be determined from a displacement-time graph by calculating the slope of the graph at a specific point. The slope at a given point represents the instantaneous velocity of the object at that point. The steeper the slope, the greater the velocity, with positive slopes indicating motion in one direction and negative slopes indicating motion in the opposite direction.
To develop the general velocity equation from a velocity vs. time graph, you can determine the slope of the graph at any given point, which represents the acceleration. Integrating the acceleration with respect to time gives you the velocity equation that relates velocity to time. The integration constant can be determined using initial conditions or additional information from the graph.
A velocity time graph is still a velocity time graph - no matter the degree of detail that you look at it.
The acceleration can be determined from a velocity vs. time graph by finding the slope of the line at a specific point. The equation used to calculate acceleration from a velocity vs. time graph is given by a = Δv/Δt, where a is the acceleration, Δv is the change in velocity, and Δt is the change in time.
In a displacement-time graph, the gradient represents velocity. In a velocity-time graph, the gradient represents acceleration.
Your acceleration vs. Time graph is the slope of your velocity vs. time graph
To create an acceleration-time graph from a velocity-time graph, you need to find the slope of the velocity-time graph at each point. The slope represents the acceleration at that specific instant. Plot these acceleration values against time to get the acceleration-time graph.
To go from a position graph to a velocity graph, you can calculate the slope of the position graph at each point. The slope at any given point on a position vs. time graph represents the velocity at that specific time. Therefore, the velocity graph would be a plot of the slopes at each point on the position graph.
Acceleration and displacement can be obtained from the velocity-time graph. Acceleration is the rate of change of velocity, which can be found as the slope of the velocity-time graph. Displacement can be determined by finding the area under the velocity-time graph, as it represents the distance traveled by an object.
The position vs time graph of an object shows its location at different times, while the velocity vs time graph shows how fast the object is moving at those times. The slope of the position vs time graph represents the velocity on the velocity vs time graph.