
Home > CALC > Chapter 5 > Lesson 5.2.1 > Problem 5-54
5-54.
What does x and t stand for?
Refer to the hint in part (b).
Analytic method: The ant will change directions when x'(t) changes sign.
Graphical method: The ant will change directions when the derivative graph CROSSES the x-axis.
When velocity is positive, the ant is moving forward. When velocity is negative, the ant is moving backwards.