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What is the slope of the line tangent to the curve on a position-time graph at a specific time?
The slope of the tangent line in a position vs. time graph is the velocity of an object. Velocity is the rate of change of position, and on a graph, slope is the rate of change of the function. We can use the slope to determine the velocity at any point on the graph. This works best with calculus. Take the derivative of the position function with respect to time. You can then plug in any value for x, and get the velocity of the object.
How do you find instantaneous velocity from position time graph?
You can't, since the slope of the graph means average velocity and the area of the graph has no meaning. The only way to find instantaneous velocity from position-time gragh is by plugging the data into the kinematic equations to get the answer. Edit: Actually you can if you take the derivative of the equation of the curve it will give you the equation of the velocity curve
What best explains how a plot of concentration vs time for a reactant of a chemical reaction can be used to determine the instantaneous rate of a reaction at time equals 10 s?
1) Find time = 10 s on the curve. 2) Draw a line tangent to the point time = 10 s on the curve. 3) Use two points on the tangent line to find the slope of the line. 4) The slope of the line is the instantaneous rate in M/s.
Is Average velocity the slope of the line tangent to the curve on a velocity time graph at a specific instant of time?
No, average velocity is the total displacement divided by the total time taken. The slope of the tangent to the curve on a velocity-time graph at a specific instant of time gives the instantaneous velocity at that moment, not the average velocity.
What is the position of the curve of meniscus of tea?
At the liquid/air interface
Why vector is staight not a curve?
Because a vector contains information about the direction. A direction, at any particular position is the tangent to the curve and this, by definition, must be straight.
How do you find the slope of an Indifference curve?
You find the tangent to the curve at the point of interest and then find the slope of the tangent.
In maths what is a tangent and what is a chord?
Tangent:In geometry, the tangent line (or simply the tangent) is a curve at a given point and is the straight line that "just touches" the curve at that point. As it passes through the point where the tangent line and the curve meet the tangent line is "going in the same direction" as the curve, and in this sense it is the best straight-line approximation to the curve at that point.Chord:A chord of a curve is a geometric line segment whose endpoints both lie on the outside of the circle.
What is the tangent of the curve?
A tangent is a line which touches, but does not cross, a curved line.
How do you find the point of tangency?
A tangent is an object, like a line, which touches a curve. The tangent only touches the curve at one point. That point is called the point of tangency. The tangent does not intersect (pass through) the curve.
Why we draw tangent in newton raphson method?
A line tangent to a curve, at a point, is the closest linear approximation to how the curve is "behaving" near that point. The tangent line is used to estimate values of the curve, near that point.
Straight lines that touch but don't intersect a curve?
Tangent to the curve.
What t-word is define in geometry as a straight line that touches a curve but continues on with crossing it?
A tangent line touches a curve or the circumference of a circle at just one point.
What is the definition of a tangent line?
A tangent is a line that just touches a curve at a single point and its gradient equals the rate of change of the curve at that point.
What is the point of tangency?
The point of tangency refers to the specific point where a tangent line touches a curve without crossing it. At this point, the slope of the tangent line is equal to the slope of the curve, indicating that they share the same instantaneous rate of change. In calculus, this concept is crucial for understanding derivatives and the behavior of functions.
Is a tangent a trigonometric ratio?
Tangent is used in calculus to compute the slope of a curve. Because curves do not have uniform slopes, unlike lines, their slopes change. A tangent is the slope of a curve at a specific point.
Is tangent in geometry and tangent in trigonometry same?
Yes a tangent is a straight line thattouches a curve at only one point But there is a tangent ratio used in trigonometry
