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As learned earlier, a curved line on a position versus time graph signifies an accelerated motion.

What does the curved line graph indicate the object is. Curved lines represent an accelerated motion. Let’s look at another example. A curved line shows that the object is accelerating or decelerating.

The slope of the line is the velocity of the object. Clearly if a section of the \(x\) vs. And the actually speed and acceleration value that it any given time.

In either case, the curved line of changing slope is a sign of accelerated motion (i.e., changing velocity). These descriptions follow directly from the definitions of average and instantaneous acceleration. Unlike straight lines, curved lines do not maintain a uniform direction.

Here's an example of the difference: In these graphs, the position of the object is represented by the vertical axis, the time elapsed is represented by the horizontal axis, and the dependent variable, that is position, depends on the independent variable, that is time. Through the following example, we will see how to do this:

The graph of position versus time in figure 2.13 is a curve rather than a straight line. Some teachers also teach it as 'area under the graph', so as long as you know what you're calculating, you should be fine. It is continuous and smooth, without any sharp turns.

Time graphs we will look at will be simple to interpret. So, curvature in a graph means the object is accelerating, changing velocity/slope. A tennis player hits a ball to a wall 5 meters away, and the ball bounces back the same distance.

A curved line is a type of line that is not straight and is bent. The slope of the curve becomes steeper as time progresses, showing that the velocity is increasing over time. If a position graph is curved, the slope will be changing, which also means the velocity is changing.

Hence, when the curvature of a line is not zero, then we call it a curved line. Motion graphs allow scientists to learn a lot about an object’s motion with just a quick glance. In mathematics, a curved line is a line that bends or turns continuously, changing its direction at every point on its path.

A negative slope means a negative velocity; They may start with a very small slope and begin curving sharply (either upwards or downwards) towards a large slope. A changing slope (curved line) means a changing velocity.

These graphs always have the displacement from a given point represented on the vertical axis and time represented on the horizontal axis. Area under a curve generally talks about the area under a specific geometric shape, be it a line or a curvature(sometimes known as concavity). And the actually speed and acceleration value that it any given time.

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