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So, curvature in a graph means the object is accelerating, changing velocity/slope.

What does the curved line mean in a motion graph. If we are given the graph of a motion, we can compute the area under the curve between the starting and ending points to get a definite integral, and therefore the change between the starting and ending values. For example, a small slope means a small velocity; Average velocity and speed account for motion occurring over a time period, and instantaneous velocity and speed describe motion.

What does the area represent on an acceleration graph? The table shows what each section of the graph represents: The slope of a curve is always changing over time.

If it was not constant we would see a curved line in our graph. When people use the words speed or velocity, they usually mean instantaneous velocity or instantaneous speed. If a position graph is curved, the slope will be changing, which also means the velocity is changing.

Show that as a straight line changes its angle next to a curve, it actually hits the curve multiple times at the base, but only one line will never touch at all. An object undergoing constant acceleration traces a straight line; Since a curved line has no single slope we must decide what we mean when asked for the acceleration of an object.

What we mean by slope is; A negative slope means a negative velocity; From the given graph we calculate velocity;

Average acceleration is the slope of the straight line connecting the endpoints of a curve. A constant slope (straight line) means a constant velocity; A curved line is a more complicated example.

T = 6 s t = 6 s. Time graph of the jet car’s motion that. A horizontal line shows that the object is stationary.

These descriptions follow directly from the definitions of average and instantaneous acceleration. The gradient of the line is equal to the. More often, these curved graphs occur when something is speeding up, often from rest.

This means that a curve represents motion. Now, we use this graph and make some calculations. Define tangent as a line that touches a curve at only one point.

There is another way of this calculation. Occasionally, we will look at curved graphs of velocity vs. To find the velocity of an.

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