The principle is that the slope of the line on a velocity-time graph reveals useful information about the acceleration of the object . If the acceleration is zero, then the slope is zero (i.e., a horizontal line). ... The slope of a velocity-time graph reveals information about an object’s acceleration.
What does the slope of the line represent on a velocity vs time graph?
A motion such as the one above further illustrates the important principle: the slope of the line on a velocity-time graph is equal to the acceleration of the object . This principle can be used for all velocity-time in order to determine the numerical value of the acceleration.
What is the physical significance of the slope and y intercept on the velocity vs time graph?
– The y-intercept of a v-t graph for uniform acceleration represents the initial velocity . v t Object is slowing down and moving left, down, south, west. – The slope of the line gives acceleration of the object. – The area between the line and the time axis gives us the displacement for that time interval.
What is the slope in a distance time graph?
In a distance-time graph, the slope or gradient of the line is equal to the speed of the object . The steeper the line (and the greater the gradient) the faster the object is moving.
Why is the slope of a velocity time graph acceleration?
What does the slope represent on a velocity graph? The slope of a velocity graph represents the acceleration of the object . So, the value of the slope at a particular time represents the acceleration of the object at that instant.
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 does the slope of a position time graph represent?
The principle is that the slope of the line on a position-time graph is equal to the velocity of the object . ... If the object is moving with a velocity of -8 m/s, then the slope of the line will be -8 m/s.
What is Y intercept in velocity-time graph?
the”y” intercept equals the initial velocity . when two curves coincide, the two objects have the same velocity at that time.
What is the physical meaning of the slope?
Slope is the ‘steepness’ of the line , also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.
What does slope do to a line?
Slope describes the steepness of a line . The slope of any line remains constant along the line. The slope can also tell you information about the direction of the line on the coordinate plane. Slope can be calculated either by looking at the graph of a line or by using the coordinates of any two points on a line.
What is difference between speed and velocity?
The reason is simple. Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object’s movement .
What is the slope of the body when it moves with uniform velocity?
When a body moves with constant velocity, then acceleration will be zero . So, the slope of the velocity-time graph will be zero. Therefore, we can say that the correct answer to the question asking about the slope of the velocity-time graph for motion with uniform velocity is equal to zero.
In what situation is the velocity time graph a straight line with negative slope?
In retarded motion the velocity time graph is a straight line with negative slope. Explanation: Negative acceleration is called retardation. If the velocity of a body is decreasing with respect to time, the acceleration is said to be negative.
What graph is equal to velocity?
Normally, velocity is plotted on the y-axis (the vertical axis) and time is plotted on the x-axis (the horizontal axis). The area under the line on a velocity-time graph is equal to the displacement of the object.
Is the slope the velocity?
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.
Is acceleration the slope of a velocity time graph?
First, the slope of the velocity-time graph is equal to the object’s acceleration . In this case, the object was moving at a constant velocity during each segment of it’s motion. Second, the area under the graph is equal to the object’s displacement during that time interval.
