Same paths, different velocity The position functions of objects A and B describe different motion along the same path for t ≥ 0.a. Sketch the path followed by both A and B.b. Find the velocity and acceleration of A and B and discuss the differences.c. Express the acceleration of A and B in terms of the tangential and normal components and discuss the differences. A: r(t) = ⟨t, 2t, 3t⟩ , B: r(t) = ⟨t2, 2t2, 3t2⟩

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 35E
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Same paths, different velocity The position functions of objects A and B describe different motion along the same path for t ≥ 0.
a. Sketch the path followed by both A and B.
b. Find the velocity and acceleration of A and B and discuss the differences.
c. Express the acceleration of A and B in terms of the tangential and normal components and discuss the differences.

A: r(t) = ⟨t, 2t, 3t⟩ , B: r(t) = ⟨t2, 2t2, 3t2

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