### Home > CALC > Chapter 11 > Lesson 11.4.1 > Problem 11-129

11-129.

**Multiple Choice:**A point traveling along the*x*-axis has position

*s*(*t*) = 2*t*^{3}− 4*t*^{2}+ 2*t*+ 1.

The total distance traveled by the point from*t*= 0 to*t*= 2 is: Homework Help ✎4

5

4.593

6.296

6.593

Take the derivative and use it to determine when the point changes directions.

The point changes direction when *t* = 1/3 and *t* = 1.