What quantity does the area under a velocity time graph represent?

Asked By: Luz Tobolin | Last Updated: 21st January, 2020
Category: science physics
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The area under a velocity graph represents the displacement of the object.

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Just so, what does the area under velocity time graph represent?

The area under a velocity-time graph is a representation of the displacement. If the area is over a time interval, then the displacement during that time interval can be measured by the area under the graph bounded by the time interval. Bonus: the slope of a V-t graph is a measure of acceleration.

Furthermore, what does area under distance time graph represent? The area under the speed-time graph is the distance the particle travels. Distance-time graphs and Acceleration-time graphs can also be drawn for the motion of a particle, where time is always plotted on the horizontal axis. A straight line on a distance-time graph represents that a particle has constant speed.

Besides, which physical quantity is given by the area under velocity time graph?

Area under velocity time graph gives us the magnitude of displacement.

What does area under at 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.

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What is the area under a displacement time graph?

The area between a velocity-time graph and the `time' axis gives the displacement of the object. The slope is the same all the way from A to C, so the cyclist's velocity is constant over the entire displacement he travels. In figure 5.1 are examples of the displacement-time graphs you will encounter.

What is the formula of displacement?

Displacement equals the original velocity multiplied by time plus one half the acceleration multiplied by the square of time. Here is a sample problem and its solution showing the use of this equation: An object is moving with a velocity of 5.0 m/s.

Why is the area under a velocity time graph displacement?

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 is the formula for average velocity?

Average velocity (v) of an object is equal to its final velocity (v) plus initial velocity (u), divided by two. Where: ¯v = average velocity. v = final velocity.

How do I calculate average velocity?


The average speed of an object is defined as the distance traveled divided by the time elapsed. Velocity is a vector quantity, and average velocity can be defined as the displacement divided by the time.

Which physical quantity is calculated by slope of velocity time graph?

The name of the physical quantity for the slope of distance time graph is speed. The physical quantity for the area under velocity time graph is distance. And, the slope of velocity time graph is Acceleration. It can drown by taking time taken along the X-axis and velocity along the Y-axis.

What is the difference between velocity and speed?

The short answer is that velocity is the speed with a direction, while speed does not have a direction. Speed is a scalar quantity—it is the magnitude of the velocity. Speed is measured in units of distance divided by time (e.g., miles per hour, feet per second, meters per second, etc.).

What does the slope of a speed time graph represent?

The slope of SPEED- TIME graph represents the acceleration of the particular body. If the Speed-Time is a straight line then the acceleration is zero. More than saying it as speed time graph, we can say it as Velocity Time graph, since acceleration is a vector quantity.

Can the velocity of an object change when its acceleration is constant?

Yes, an object's velocity can change direction when its acceleration is constant. Velocity is the rate of change of displacement with respect to time. It is a vector quantity which means it has both direction and magnitude.

Does a car that is slowing down always have a negative acceleration?


The acceleration of an object that is speeding up is always positive. The acceleration of an object that is slowing down is always negative. The airplane is speeding up as it goes down the runway. The final speed is greater than the initial speed.

What physical quantity does the area under the force displacement curve represent?

The area under the force displacement curve represents the work done. It is the distance (s) of the object displaced by the application of the force (f). In this case force (f) is presented on y-axis and displacement (s) on x-axis. The work done (w) is a scalar quantity.

What is the area under a graph?

www.mathwords.com. about mathwords. website feedback. Area under a Curve. The area between the graph of y = f(x) and the x-axis is given by the definite integral below.

How do you find the area under a graph?

The area under a curve between two points can be found by doing a definite integral between the two points. To find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. Areas under the x-axis will come out negative and areas above the x-axis will be positive.

What does the area under the velocity time graph give?

The area under a velocity graph represents the displacement of the object.

How do you describe a distance time graph?


Distance-time graphs. If an object moves along a straight line, the distance travelled can be represented by a distance-time graph. In a distance-time graph, the gradient of the line is equal to the speed of the object. The greater the gradient (and the steeper the line) the faster the object is moving.

How do u calculate distance?

To solve for distance use the formula for distance d = st, or distance equals speed times time. Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t.

What does the area under a distance time graph represent?

The area under the speed-time graph is the distance the particle travels. Distance-time graphs and Acceleration-time graphs can also be drawn for the motion of a particle, where time is always plotted on the horizontal axis. A straight line on a distance-time graph represents that a particle has constant speed.