to calculate the area of any straight line graph or part of a graph, you need to select two points.
for example (x1,y1) and (x2,y2).
once you have selected the points you put then into the equation
m=delta y/delta x (change in y divided by the change in x)
which is easier as
m=(y2-y1)/(x2-x1)
and m = the gradient
It is the gradient (slope) of the line.
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.
The gradient in a distance-time graph represents the speed or velocity of an object. It is calculated as the change in distance divided by the change in time, indicating how quickly distance changes over time. A steeper gradient indicates a higher speed, while a flat gradient indicates that the object is stationary. If the gradient is negative, it suggests that the object is moving back towards the starting point.
A velocity time graph is still a velocity time graph - no matter the degree of detail that you look at it.
The gradient of the graph.
In a displacement-time graph, the gradient represents velocity. In a velocity-time graph, the gradient represents acceleration.
It is the gradient (slope) of the line.
You can't, since the slope of the graph means average velocity and the area of the graph has no meaning. The only way to find instantaneous velocity from position-time gragh is by plugging the data into the kinematic equations to get the answer. Edit: Actually you can if you take the derivative of the equation of the curve it will give you the equation of the velocity curve
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 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 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 determine velocity from an acceleration-time graph, you can find the area under the curve of the graph. This area represents the change in velocity over time. By calculating this area, you can determine the velocity at any given point on the graph.
On a position-time graph, acceleration can be recognized as a non-zero slope, indicating a change in velocity over time. On a velocity-time graph, acceleration is represented by a non-zero slope or a curved line. Additionally, in both cases, acceleration can be identified by a constant increase or decrease in velocity over time.
To find the time taken to acquire a certain velocity in an acceleration-time graph, locate the point on the graph where the velocity reaches the desired value. Then, find the corresponding time on the horizontal axis at that point. This time value represents the time taken to acquire the initial velocity.
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.
The gradient in a distance-time graph represents the speed or velocity of an object. It is calculated as the change in distance divided by the change in time, indicating how quickly distance changes over time. A steeper gradient indicates a higher speed, while a flat gradient indicates that the object is stationary. If the gradient is negative, it suggests that the object is moving back towards the starting point.
you can't....it's merely impossible! Assuming it is a graph of velocity vs time, it's not impossible, it's simple. Average velocity is total distance divided by total time. The total time is the difference between finish and start times, and the distance is the area under the graph between the graph and the time axis.