If an x-t graph is a position-time graph, velocity is the slope of the line on the graph.
A velocity time graph is still a velocity time graph - no matter the degree of detail that you look at it.
The graph of velocity-time is the acceleration.
Simply put, a velocity time graph is velocity (m/s) in the Y coordinate and time (s) in the X and a position time graph is distance (m) in the Y coordinate and time (s) in the X if you where to find the slope of a tangent on a distance time graph, it would give you the velocity whereas the slope on a velocity time graph would give you the acceleration.
In a velocity-time graph it will be the time axis (where velocity = 0). On a distance-time graph it will be a line parallel to the time axis: distance = some constant (which may be 0).
As, in the velocity-time graph, curves passes through zero means 'when time is zero velocity is zero'. Velocity is time derivative of displacement. So displacement is maximum or minimum when time is zero in 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.
To calculate velocity from a position-time graph, you can find the slope of the line tangent to the curve at a specific point. This slope represents the instantaneous velocity at that point. Alternatively, you can calculate the average velocity over a specific time interval by finding the change in position divided by the change in time.
To find the position of an object from a velocity-time graph, you need to calculate the area under the curve of the graph. This area represents the displacement of the object.
Deceleration on a velocity-time graph is calculated by finding the slope of the line segment representing the decrease in velocity. The formula for deceleration is given by the change in velocity divided by the time taken for the velocity to change. It indicates how quickly the object is slowing down.
To find the position from a velocity-vs-time graph, you need to calculate the area under the velocity curve. If the velocity is constant, the position can be found by multiplying the velocity by the time. If the velocity is changing, you need to calculate the area under the curve using calculus to determine the position.
To determine the average acceleration from a velocity-time graph, you can calculate the slope of the line connecting the initial and final velocity points on the graph. This slope represents the average acceleration over that time interval.
To calculate distance from a velocity-time graph, you would find the area under the curve, as this represents the displacement or distance traveled. If the graph is above the time axis, calculate the area above the time axis, and if it dips below, calculate the area below the time axis. Summing these two areas will give you the total distance traveled.
From a velocity-time graph, you can calculate the acceleration by finding the slope of the graph at a certain point. The area under the graph represents the displacement of the object. You can also determine the direction of motion based on the slope of the graph (positive slope indicates motion in one direction, negative slope indicates motion in the opposite direction).
To find the position of an object from a velocity vs. time graph, you need to calculate the area under the velocity vs. time curve. This area represents the displacement of the object.
To find kinematic variables from a graph of position vs. time, one can calculate velocity by finding the slope of the graph at a specific point, and acceleration by finding the slope of the velocity vs. time graph. Additionally, one can determine displacement by finding the area under the velocity vs. 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.
To determine velocity on a position-time graph, calculate the slope of the line at a specific point. The slope represents the rate of change in position over time, which is the velocity. A steeper slope indicates a higher velocity, while a flatter slope indicates a lower velocity.