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 (2v2, 2V2) (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) = -4 sin(t)i+ 4 cos(t)j COS %3! s(t) = %3D -cos(1)i – 4 sin(1)j a(t) = COS %3D (b) Evaluate the velocity vector and acceleration vector of the object at the given point. -2V2 i+2V2j -2/2i-2V2j 4. %3D
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 (2v2, 2V2) (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) = -4 sin(t)i+ 4 cos(t)j COS %3! s(t) = %3D -cos(1)i – 4 sin(1)j a(t) = COS %3D (b) Evaluate the velocity vector and acceleration vector of the object at the given point. -2V2 i+2V2j -2/2i-2V2j 4. %3D
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 97E
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