A derivative graph tracks the slope of a function.
A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.
The steepness of a line graph is called the "gradient" ------------------------------- or slope.
velocity.
The rate of Change in acceleration.
Calculate slope as slope=(y2-y1)/(t2-t1).
Velocity is the slope of the line on a D-t graph
The slope of a graph in question 1 represents the rate at which the dependent variable changes with respect to the independent variable. It shows how much the output variable increases or decreases for a given increase in the input variable. A steeper slope indicates a faster rate of change.
The slope for a straight line graph is the ratio of the amount by which the graph goes up (the rise) for every unit that it goes to the right (the run). If the graph goes down, the slope is negative. For a curved graph, the gradient at any point is the slope of the tangent to the graph at that point.
If you have an object that is accelerating, then a position vs. time graph will give you a parabola which is pretty but is very hard to measure anything on - especially hard to measure the acceleration (or the curve of the line). If however, you graph position vs. time squared, you get a nice straight line (if you have constant acceleration) and therefore, you can measure the slope and get the acceleration. Remember: x = 1/2at2 so if you graph x vs. t2 then the slope = 1/2 a or a = 2*slope No matter what you are measuring, you always want to graph a straight line. hope that helps
acceleration
The slope of a velocity-time graph represents acceleration.
this is a linear equation. make the y-intercept at 299. and the slope of 338rise and 1run. this is an extremely steep slope.
"Slope" is the steepness of the line on any graph.
The slope of a distance-time graph represents speed.
The slope of a velocity-time graph represents acceleration.
To determine the order of reaction from a graph, you can look at the slope of the graph. If the graph is linear and the slope is 1, the reaction is first order. If the slope is 2, the reaction is second order. If the slope is 0, the reaction is zero order.