Question

Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter your answer in terms of s.)

Answer 1

To reparametrize a curve with respect to arc length, use the formula s = rt, where s is the arc length and t is the parameter of the curve.

Step-by-step explanation:

To reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t, we need to find the relation between s and t.

Given that the displacement s is directly proportional to 0, we can relate it to the arc length in a circle using the formula L = r*0, where L is the arc length and r is the radius of curvature of the circular path.

Therefore, the reparametrized curve with respect to arc length s can be expressed as: s = rt, where r is the radius of curvature.