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What is a derivative graph?
A derivative graph tracks the slope of a function.
How do you graph x squared plus y squared equals 36?
The graph is a circle with a radius of 6, centered at the origin.
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 an acceleration-position graph indicate?
Meters/seconds squared
What equation does the height vs time squared graph represent?
The slope of height vs. time squared graph equals (g) - acceleration due to gravity divided by two. In symbols m = g/2, where m is the slope and g is the acceleration due to gravity.
A slope of a position vs time graph is equal to?
The slope of a position vs time graph represents the velocity of the object. It indicates how the position changes over time, with a steeper slope corresponding to a higher velocity and a flatter slope corresponding to a lower velocity.
Where is acceleration represented on a distance verses time squared graph?
In general, nowhere, because acceleration is the second derivative of distance with respect to time. However, in the special case of a constant acceleration, the acceleration will be twice the slope of the line, since distance = 0.5 * time squared.
Does a straight diagonal line on a distance versus time graph indicate constant speed?
Yes. Speed is the rate at which distance changes over time. In calculus terms v = dx/dt, or the slope of the distance vs. time graph. If the slope of the distance vs. time graph is a straight line, the speed is constant.
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
Acceleration can be determined from a velocity vs time graph by calculating the line's?
slope. The slope of a velocity vs time graph represents the rate of change of velocity, which is equivalent to acceleration. A steeper slope indicates a higher acceleration, while a gentler slope indicates a lower acceleration.
How is instantaneous acceleration related to a velocity-time graph?
Instantaneous acceleration at any point on a velocity-time graph can be determined by calculating the slope of the tangent line at that specific point. A steeper slope represents a higher acceleration, while a shallower slope indicates a lower acceleration.
What does the slope of a distance vs time squared graph represent?
That's unusual. I guess your teacher is trying to make you think a bit. It's a good mental exercise, though. You may recall that the units of acceleration are meters per second squared. That gives you a clue right there. And if you knew Calculus, you'd know that acceleration is the second derivative of distance, s, with respect to time, t: d2s/dt2. So, by now you're probably getting the feeling that the slope of a distance-time squared graph has something to do with acceleration. And you'd be right. Just as the slope of a velocity-time graph is acceleration, the slope of a distance-t2 graph is acceleration. Well, not quite. It's actually ONE HALF the acceleration.
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 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
