-- Pick two points on the graph. -- Find the difference in time between the two points. -- Find the difference in displacement between the same two points. -- (Difference in displacement) divided by (difference in time) is the average Speed . You can't tell anything about velocity from the graph except its magnitude, because the graph displays no information regarding the direction of motion.
Connect the two points.
You find the average rate of change of the function. That gives you the derivative on different points of the graph.
-- take the difference between the 'x' values of the two points; square it -- take the difference between the 'y' vales of the two points; square it -- add the two squares together -- take the square root of the sum The result is the distance between the two points.
A graph is more informative than an equation because a graph is easier to interpret visually, and find all the points and line them up, rather than just a slope which shows no points(data).
when you want to find out the differences between the points
To determine the distance between two points on a graph, you can use the distance formula, which is derived from the Pythagorean theorem. This formula calculates the distance as the square root of the sum of the squares of the differences in the x-coordinates and y-coordinates of the two points. By plugging in the coordinates of the two points into the formula, you can find the distance between them on the graph.
-- Pick two points on the graph. -- Find the difference in time between the two points. -- Find the difference in displacement between the same two points. -- (Difference in displacement) divided by (difference in time) is the average Speed . You can't tell anything about velocity from the graph except its magnitude, because the graph displays no information regarding the direction of motion.
because when you put them together you get a graph and the points on the graph are your answer
To find the slope on a distance vs. time graph, you calculate the change in distance divided by the change in time between two specific points on the graph. The slope represents the speed or velocity of an object. A steeper slope indicates a greater speed.
You can use a position-time graph to find the displacement of an object by determining the change in position between the initial and final points on the graph. The displacement is the area under the curve of the graph, which corresponds to the distance traveled by the object in a particular time interval. Mathematically, displacement can be calculated by integrating the velocity-time graph or finding the slope of the graph at different time points.
Connect the two points.
They are all the points where the graph crosses (or touches) the x-axis.
You find the average rate of change of the function. That gives you the derivative on different points of the graph.
To find the distance between two points on a graph, you can use the distance formula: √((x₂ - x₁)² + (y₂ - y₁)²). Plug in the coordinates of the two points to calculate the distance.
-- take the difference between the 'x' values of the two points; square it -- take the difference between the 'y' vales of the two points; square it -- add the two squares together -- take the square root of the sum The result is the distance between the two points.
We set the denominator to zero to find the singularities: points where the graph is undefined.