Q. What is the quantity represented by the area under the velocity time graph?
The area under a velocity graph represents the displacement of the object.
Q. Which physical quantity is represented by the area under the VT graph?
Area under velocity-time graph represents velocity×time=distance, which has the unit metre (m).
Q. What is the area under the curve of a 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.
Q. What does area under the curve mean?
Definition. A common use of the term “area under the curve” (AUC) is found in pharmacokinetic literature. It represents the area under the plasma concentration curve, also called the plasma concentration-time profile. The AUC is a measure of total systemic exposure to the drug.
Q. Why area under velocity time graph is displacement?
This is because speed and distance are scalars. The area under a velocity-time graph is the displacement. Velocity can be negative if an object is moving backwards. The displacement can also be negative.
Q. How do you find the area under a graph?
The area under a curve between two points is found out by doing a definite integral between the two points. To find the area under the curve y = f(x) between x = a & x = b, integrate y = f(x) between the limits of a and b. This area can be calculated using integration with given limits.
Q. How do I calculate the area under the curve in Excel?
You can calculate its area easily with this formula: =(C3+C4)/2*(B4-B3). 2. Then you can drag the AutoFill handle of the formula cell down to calculate areas of other trapezoids. Note: The last trapezoid is between x=14 and x=15 under the curve.
Q. What does it mean when the area under a curve is negative?
The Area Under a Curve Areas under the x-axis will come out negative and areas above the x-axis will be positive. This means that you have to be careful when finding an area which is partly above and partly below the x-axis. You may also be asked to find the area between the curve and the y-axis.
Q. What does it mean when an integral is negative?
Yes, a definite integral can be negative. If ALL of the area within the interval exists below the x-axis yet above the curve then the result is negative . OR. If MORE of the area within the interval exists below the x-axis and above the curve than above the x-axis and below the curve then the result is negative .
Q. How do you find the area of the region bounded by two curves?
Area Bounded by Two Functions of y Find the area between the curves x=1−y2 and x=y2−1. Here the curves bound the region from the left and the right. Area=∫bc(Right-Left)dy.
Q. How do you calculate area on a calculator?
How to calculate area?
- Square area formula: A = a²
- Rectangle area formula: A = a * b.
- Triangle area formulas: A = b * h / 2 or.
- Circle area formula: A = πr²
- Circle sector area formula: A = r² * angle / 2.
- Ellipse area formula: A = a * b * π
- Trapezoid area formula: A = (a + b) * h / 2.
- Parallelogram area formulas:
Q. How do you find the area of a bounded region?
Find the area of the region enclosed by the root curve y=√x and the line y=kx, where k>0. First we find the points of intersection of both curves: √x=kx,⇒√x−kx=0,⇒√x(1−k√x)=0,⇒x1=0,x2=1k2.
