Chapter 14.5, Problem 61E

Same paths, different velocity The position functions of objects A and B describe different motion along the same path, for t ≥ 0.

1. a. Sketch the path followed by both A and B.
2. b. Find the velocity and acceleration of A and B and discuss the differences.
3. c. Express the acceleration of A and B in terms of the tangential and normal components and discuss the differences.

61. A: r(t) = 〈t, 2t, 3t〉, B: r(t) = 〈t², 2t², 3t²〉