In position and time graphs, the slope of line indicates the velocity. Therefore negative slope of a position-time graph actually indicates negative velocity . Negative velocity is defined as the velocity of the object moving in an opposite direction.
Can distance-time graph have negative slope?
Can a distance-time graph have a negative slope? Nope . Distance is a non-directional quantity. ... Therefore, within a particular period, the distance-time graph is always either constant or increasing in the absence of decreasing and a negative slope.
What does a negative slope on a distance versus time graph represent?
time graph reveals pertinent information about an object’s velocity. For example, a small slope means a small velocity; a negative slope means a negative velocity ; a constant slope (straight line) means a constant velocity; a changing slope (curved line) means a changing velocity.
What does a downward slope on a distance-time graph indicate?
The slope of the line is the acceleration. A downward slanted line on a velocity vs time graph indicates decreasing speed . The slope of the line is the negative acceleration.
What does a negative slope indicate?
A negative slope means that two variables are negatively related ; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.
What does the slope of position-time graph indicate?
The slope of a position graph represents the velocity of the object . So the value of the slope at a particular time represents the velocity of the object at that instant.
What is the slope of position vs time graph?
Position – Time Graphs
On a position-time graph, this is the slope! So, the slope of a position-time graph is equal to the velocity at which the object is moving . You can see that where there is a horizontal line (slope = 0), the object is not moving.
Can positive time graph have negative slope?
Yes . The slope of position time graph gives velocity. And velocity can be negative.
What does a positive slope on a distance-time graph mean?
The principle is that the slope of the line on a position-time graph reveals useful information about the velocity of the object. ... If the velocity is changing, then the slope is changing (i.e., a curved line). If the velocity is positive , then the slope is positive (i.e., moving upwards and to the right).
Can distance traveled be negative?
Distance traveled is not a vector. It has no direction and, thus, no negative sign. ... Specifically, if an object changes direction in its journey, the total distance traveled will be greater than the magnitude of the displacement between those two points.
What is the slope of a speed time graph equal to?
It was learned earlier in Lesson 4 that the slope of the line on a velocity versus time graph is equal to the acceleration of the object . If the object is moving with an acceleration of +4 m/s/s (i.e., changing its velocity by 4 m/s per second), then the slope of the line will be +4 m/s/s.
What will be the slope of a distance time graph when the object is at rest?
In a distance-time graph, the slope of the graph is zero , the object is at rest or in motion & why?
What does the slope of distance time graph gives us?
The slope of the distance-time graph indicates speed . It is because the slope of a distance-time graph determines the speed of that body, so the steeper the slope greater will be the speed of the body.
What is an example of a negative slope?
For example, as the number of people that quit smoking (x) increases , the number of people contracting lung cancer (y) decreases. A graph of this relationship has a negative slope.
What does a line with a negative slope look like?
Definition of Negative Slope Lines
A line with a negative slope is a line that is trending downward from left to right . In other words, the line’s rise to run ratio is a negative value. In this image, the car is driving down a hill that has a negative slope. Notice that the hill is moving downward from left to right.
What does a undefined slope look like?
When a line with undefined slope is graphed, it will look vertical, just like a steep cliff . The picture shows three vertical lines, all with undefined (infinite) slope. ... ‘ Just like a vertical cliff face, a vertical line does not progress in the horizontal, or x, direction. Every point on the line has the same x value.
