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2t + 3 r(t) -, In(t² + 2) t2 +1

2t + 3 r(t) -, In(t² + 2) t2 +1

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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2t + 3 r(t) , In(t² + 2) t2 + 1 describes the position of a particle in the plane, for t> 0. Suppose time is measured in seconds and distance in meters. a) Determine a unitary tangent vector to the displacement of the particle at time t = 2. b) Determine the speed with which the particle is moving at the instant t = 2. c) What is the acceleration of the particle at the same instant?
Transcribed Image Text:2t + 3 r(t) , In(t² + 2) t2 + 1 describes the position of a particle in the plane, for t> 0. Suppose time is measured in seconds and distance in meters. a) Determine a unitary tangent vector to the displacement of the particle at time t = 2. b) Determine the speed with which the particle is moving at the instant t = 2. c) What is the acceleration of the particle at the same instant?
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