Q:

# What is arc length parameterization?

A:

Arc length parameterization refers to the description of the path of a particle that travels at a constant rate of one unit per second along a curve. It is the simplest representation of a curve with regard to the dynamics of the path of a particle.

## Keep Learning

Credit: Anthony Harvie Stone Getty Images

Parameterization of a curve by arch length involves finding its arch length s(t), then calculating the inverse of the arch length t(s) and finally setting the new parameters, u = t(s). Both the arch length and its inverse are monotonically increasing functions if the curve is regular. A parameterized curve typically increases in length uniformly.

Sources:

## Related Questions

• A: A secant line of a curve is a straight line connecting two points on the curve. The equation for a line is given by the formula y = mx + b, where m equals ... Full Answer >
Filed Under:
• A: A tangent is a line that intersects a curve at only one point and does not pass through it, such that its slope is equal to the curve's slope at that point... Full Answer >
Filed Under:
• A: The y-intercept is the point where a curve or a function intersects the y-axis. For a Cartesian plane, this refers to the point where x = 0.... Full Answer >
Filed Under:
• A: A zero degree angle appears as a straight line that travels from the point of inception to the right or positive side of a number line. If the line travels... Full Answer >
Filed Under:
PEOPLE SEARCH FOR