The position vector r describes the path of an object moving in space. Position Vector Time r(t) = 9ti + tj +¹t²k_t=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 value of t. v(2) = a(2) =

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 space.
Position Vector
Time
r(t) = 9ti + tj + t²k_ t = 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 value of t.
v(2) =
a(2) =
Transcribed Image Text:The position vector r describes the path of an object moving in space. Position Vector Time r(t) = 9ti + tj + t²k_ t = 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 value of t. v(2) = a(2) =
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