Problem 1

Using the arc length formula, find the arc length of

from to .

Problem 2

Find the length of the parametric curve

between and .

Problem 3

A particle’s position at time is given by . What is the magnitude of the acceleration at time ?

Problem 4

A curve in is given by

(a). Find the Length of the Curve between and

(b). Find the Parametric Equations of the Tangent line at

Problem 5

Let

(a). Find the Velocity as a Function of

(b). Find the Arc Length between and

Problem 6

The plane intersects the cylinder in an ellipse.

(a). Find a Parametrization of the Ellipse

(b). Express Its Circumference as an Integral

Problem 7

Consider the curve

(a). Compute the Arc Length from to

(b). Compute the Arc Length from to

Problem 8

Let

Compute , the arc length at time .

Problem 9

Find the arc length of

for , where .