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The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = t²i + tj (4,2) (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t): = s(t) = a(t) = (b) Evaluate the velocity vector and acceleration vector of the object at the given point. v(2) = a(2) =

The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = t²i + tj (4,2) (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t): = s(t) = a(t) = (b) Evaluate the velocity vector and acceleration vector of the object at the given point. v(2) = a(2) =

Algebra & Trigonometry with Analytic Geometry
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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The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = t²i + tj (4,2) (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) = s(t) a(t) = a(2) = = (b) Evaluate the velocity vector and acceleration vector of the object at the given point. v(2) = II
Transcribed Image Text:The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = t²i + tj (4,2) (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) = s(t) a(t) = a(2) = = (b) Evaluate the velocity vector and acceleration vector of the object at the given point. v(2) = II
(c) Sketch a graph of the path, and sketch the velocity and acceleration vectors at the given point. y 4 y 4 2 2 4 4 6 6 8 8 X X 4 y 2 2 4 4 6 6 8 8 X X
Transcribed Image Text:(c) Sketch a graph of the path, and sketch the velocity and acceleration vectors at the given point. y 4 y 4 2 2 4 4 6 6 8 8 X X 4 y 2 2 4 4 6 6 8 8 X X
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