The equation for the path of the particle is y= (x + 1)² +2. The velocity vector at t = 4 is v= (0)i + (2) j. (Simplify your answers.)

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 20E
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13.1 1

Please find part 2 and part 3, part 1 is completed.

The position of a particle in the xy-plane at time t is r(t) = (t − 1)i + (t² +2) j. Find an equation in x and y whose graph is the path of the particle. Then find the particle's velocity and acceleration vectors at t = 4.
The equation for the path of the particle is y= (x + 1)² +2.
The velocity vector at t = 4 is v= (0)i + (2) j
(Simplify your answers.)
C
Transcribed Image Text:The position of a particle in the xy-plane at time t is r(t) = (t − 1)i + (t² +2) j. Find an equation in x and y whose graph is the path of the particle. Then find the particle's velocity and acceleration vectors at t = 4. The equation for the path of the particle is y= (x + 1)² +2. The velocity vector at t = 4 is v= (0)i + (2) j (Simplify your answers.) C
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