What Does The Area Under A Velocity Vs Time Graph Represent?

by | Last updated on January 24, 2024

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It has been learned in this lesson that the area bounded by the line and the axes of a velocity-time graph is

equal to the displacement of an object during that particular time period

. … Once calculated, this area represents the displacement of the object.

What does the area under the acceleration vs time graph represent?

The area under an acceleration graph represents

the change in velocity

. In other words, the area under the acceleration graph for a certain time interval is equal to the change in velocity during that time interval.

What does the area under a velocity vs time graph tell you?

The area under a speed-time graph represents

the distance travelled

. This is a velocity time graph of an object moving in a straight line due North. The displacement of this object is the area of the velocity time graph. … The sloping line shows that the speed of the object is changing.

What does the area of a velocity-time graph of moving object represent?

Answer: Area under velocity-time graph gives

the displacement of a moving object

whereas slope of velocity-time graph gives the acceleration.

What does the velocity-time graph represent?

A velocity-time graph

shows changes in velocity of a moving object over time

. The slope of a velocity-time graph represents acceleration of the moving object.

What is the area under position time graph?

Since the velocity of the object is the derivative of the position graph, the area under the line in the velocity vs. time graph is

the displacement of the object

. (Velocity is on the y-axis and time on the x-axis.

How do you interpret an acceleration vs time graph?

time graph, the

slope at that point (derivative) will always be equal to the acceleration at that time

. So, if at some moment your acceleration is positive, then at that moment your velocity will be increasing. If your acceleration is negative, then your velocity will be decreasing.

What is constant speed?

Definition:

When the speed of an object remains the same

– it does not increase or decrease – we say it is moving at a constant speed.

How do you interpret a velocity-time graph?

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). If the acceleration is positive, then the slope is positive (i.e., an upward sloping line).

What is the velocity-time graph show that area under velocity-time graph is equal to displacement?

To find the displacement when the velocity is changing, a velocity-time graph is needed. 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.

What is a velocity vs time graph?

Velocity-Time Graphs

Velocity vs. time graphs

show how the velocity of a moving object changes over time

. Because the slope of the position vs time graph tells you the object’s velocity, you can use it to create a velocity vs. time graph.

What information is missing from a velocity-time graph?

position or distance. information missing from a velocity-time graph.

displacement

. equal to the difference between the starting and ending positions.

What does the area under velocity time graph represent Class 9?

The area under the line on a velocity-time graph is

equal to the displacement of the object

. The area under a speed-time graph is the distance. Speed cannot be negative, and neither can the distance. … The area under a velocity-time graph is the displacement.

Why is displacement the area under curve?

You can’t fully represent displacement by finding the area, since as a vector quantity, displacement also requires a direction. Finding the area only gives an amount, no direction. The area under the curve is

the magnitude of the displacement

, which is equal to the distance traveled (only for constant acceleration).

Charlene Dyck
Author
Charlene Dyck
Charlene is a software developer and technology expert with a degree in computer science. She has worked for major tech companies and has a keen understanding of how computers and electronics work. Sarah is also an advocate for digital privacy and security.