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This article will cover the basics for interpreting motion graphs including different types of graphs, how to read them, and how they relate to each other.

What does a curved line represent in a motion graph. A tennis player hits a ball to a wall 5 meters away, and the ball bounces back the same distance. The slope of the line is the velocity of the object. On the graph below, try sliding the dot horizontally to watch the slope change.

Any curved sections represent the time intervals for which the given object is accelerating or decelerating. As we will learn, the specific features of the motion of objects are demonstrated by the shape and the slope of the lines on a velocity vs. Here's an example of the difference:

The slope of the curve becomes steeper as time progresses, showing that the velocity is increasing over time. Curved lines have changing slope; They may start with a very small slope and begin curving sharply (either upwards or downwards) towards a large slope.

The gradient of the line is equal to the. The graph of position versus time in figure 2.13 is a curve rather than a straight line. The slope of a curve at a point is equal to the slope of a straight line tangent to the curve at that point.

This principle is illustrated in figure, where q is the point at \(\displaystyle t=25 s\). In either case, the curved line of changing slope is a sign of accelerated motion (i.e., changing velocity). So, curvature in a graph means the object is accelerating, changing velocity/slope.

What does the area under a velocity graph represent? The greater the gradient (and the steeper the line) the faster the object is moving. To see why, consider the following graph of motion that shows an object maintaining a constant velocity of 6 meters per second for a time of 5 seconds.

Some teachers also teach it as 'area under the graph', so as long as you know what you're calculating, you should be fine. Occasionally, we will look at curved graphs of velocity vs. A curved line represents an acceleration or deceleration (see the examples below)

As you see on the graph, x axis shows us time and y axis shows position. More often, these curved graphs occur when something is speeding up, often from rest. The curve on the graph represents the change in velocity of the object over time.

Curved lines represent an accelerated motion. A positive slope in a pt graph is constant positive velocity (+v). The first hump between 1 s ‍ and 5 s ‍ represents negative acceleration since.

The area under a velocity graph represents the displacement of the object. Average acceleration is the slope of the straight line connecting the endpoints of a curve. 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).

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