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.
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.
The graph of velocity-time is the acceleration.
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.
To find instantaneous velocity from a position-time graph, you calculate the slope of the tangent line at a specific point on the graph. The slope represents the rate of change of position at that instant, which is equivalent to the velocity at that particular moment.
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.
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.
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.
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.
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.
A velocity time graph is still a velocity time graph - no matter the degree of detail that you look at it.