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The slope of a ( d ) versus ( t^2 ) graph represents the acceleration of an object when plotting distance (d) against the square of time (t²). In the context of uniformly accelerated motion, this slope indicates half the acceleration (a/2), as the relationship between distance and time squared is given by the equation ( d = \frac{1}{2} a t^2 ). Thus, the slope can be calculated as ( \text{slope} = \frac{d}{t^2} ) and is equal to ( \frac{a}{2} ).
What else can I help you with?
What is a derivative graph?
A derivative graph tracks the slope of a function.
Is the first derivative of a function is a constant then its graph is?
A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.
What is the steepness on a line graph called?
The steepness of a line graph is called the "gradient" ------------------------------- or slope.
What physical property does the slope of a velocity time graph represent?
velocity.
What does the slope of the curve on a velocity time graph represent?
The rate of Change in acceleration.
How do you calculate slope on a position time graph?
Calculate slope as slope=(y2-y1)/(t2-t1).
Velocity is represented graphically by what?
Velocity is the slope of the line on a D-t graph
What does the slope of the graph in question 1 represent?
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.
What is a slope when dealing with graph?
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.
What is a position versus time-squared graph?
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
What does a slope of a time graph represent?
The slope of a velocity-time graph represents acceleration.
What is the slope of a line on distance time graph?
acceleration
How do you graph d equals 338t plus 299?
this is a linear equation. make the y-intercept at 299. and the slope of 338rise and 1run. this is an extremely steep slope.
What does slope of a speed time graph represent?
The slope of a velocity-time graph represents acceleration.
Is the steepness of a line on a motion graph is called a slope?
"Slope" is the steepness of the line on any graph.
What does the slope of the distance time graph represent?
The slope of a distance-time graph represents speed.
How can one determine the order of reaction from a graph?
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.
