The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = 4 cos ti + 4 sin tj (2/2, 2/2) (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) %3D s(t) a(t) %3D (b) Evaluate the velocity vector and acceleration vector of the object at the given point.

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 36E
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The position vector r describes the path of an object moving in the xy-plane.
Position Vector
Point
r()%3D4 cos ti + 4 sin tj
(2/Z, 2V2)
(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.
Transcribed Image Text:The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r()%3D4 cos ti + 4 sin tj (2/Z, 2V2) (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.
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