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Short-lived velocity defined as the slope of the tangent line at a given point on a curve?
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∙ 12y ago
instantaneous
Wiki User
∙ 12y ago
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What t-word is defined in geometry as a straight line that touches a curve?
tangent
What t-word is defined in geometry as a strait line that touches a curve?
tangent
What T-word is defined in geometry as a straight line that touches a curve but continue on with crossing?
Tangent
What is initial tangent?
The tangent (of a curve) is a vector that is tangent (perpendicular to the normal), i.e. the instantaneous velocity of the curve at a specific point. As such, the initial tangent is the initial velocity of the curve at the point where t=0. Stated in other terms, the tangent is the slope of the line at a point. This is expressed (in two dimensions, but applicable to higher dimensions), as the line that has x and y coordinates equal to the point of tangency, and slope equal to the limit of delta y over delta x as delta x (and delta y) approaches zero.
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.
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 t-word is defined in geometry as a straight line that touches a curve?
tangent
What t-word is defined in geometry as a strait line that touches a curve?
tangent
What T-word is defined in geometry as a straight line that touches a curve but continue on with crossing?
Tangent
What is initial tangent?
The tangent (of a curve) is a vector that is tangent (perpendicular to the normal), i.e. the instantaneous velocity of the curve at a specific point. As such, the initial tangent is the initial velocity of the curve at the point where t=0. Stated in other terms, the tangent is the slope of the line at a point. This is expressed (in two dimensions, but applicable to higher dimensions), as the line that has x and y coordinates equal to the point of tangency, and slope equal to the limit of delta y over delta x as delta x (and delta y) approaches zero.
What T-word is defined in geometry as a straight line that that touches a curve but continues on without crossing?
It is a tangent line
What does the slope of the tangent to the curve on a velocity-time graph measure?
The slope of the tangent to the curve on a velocity-time graph represents the acceleration of an object. Positive slope indicates acceleration in the positive direction, negative slope indicates acceleration in the negative direction, and zero slope indicates constant velocity.
What is the relationship between slope of a tangent line and velocity?
The slope of any line is rise/run, or change in y divided by change in x. On a distance-time curve, time is the variable on the x axis, and distance is the variable on the y axis. This means that when a tangent is drawn at any point on the curve, its slope becomes change in distance divided by change in time, for example, m/s, km/h, etc. These units align with the units for velocity, and therefore the slope of the tangent line on a distance-time curve is the velocity.
What does the slope of a tangent to the curve of a velocity-time graph measure?
The slope of a tangent to the curve of a velocity-time graph represents the acceleration of an object at that specific instant in time. A steeper slope indicates a greater acceleration, while a flatter slope indicates a smaller acceleration.
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.
Find an equation of the line tangent to the curve defined by x^2+3xy+y^4=32 at the point (2,2)?
55
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.
