The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = 6 cos ti + 6 sin tj (3/2, 3V2) (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. #) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 98E
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The position vector r describes the path of an object moving in the xy-plane.
Position Vector
Point
r(t) = 6 cos ti + 6 sin tj
(3V2, 3V2)
(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.
E) -
=
Transcribed Image Text:The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = 6 cos ti + 6 sin tj (3V2, 3V2) (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. E) - =
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