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, 3/2) (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) = %3D s(t) = %3D a(t) %3D (b) Evaluate the velocity vector and acceleration vector of the object at the given point. %3D al %3D
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, 3/2) (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) = %3D s(t) = %3D a(t) %3D (b) Evaluate the velocity vector and acceleration vector of the object at the given point. %3D al %3D
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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 (3/2, 3/2)
%3D
(a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object.
v(t) =
%3D
s(t) =
%3D
a(t) =
%3D
(b) Evaluate the velocity vector and acceleration vector of the object at the given point.
%3D
al
%3D
II
Transcribed Image Text:(c) Sketch a graph of the path, and sketch the velocity and acceleration vectors at the given point.
y
-8 -5 -4-2
24
2 4
-2
-8 4 -2
-2
2
2 4
-2
-8 -4 -2
24
-8 5 -4 -2
21
21
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