The position vector r describes the path of an object moving in space. Position Vector Time r(t) = t'i + tj + 4t3/2k t = 4 %3D (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) = s(t) = %3D a(t) = (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. v(4) = a(4) %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
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The position vector r describes the path of an object moving in space.
Position Vector
Time
r(t) = t²i + tj + 4t3/2k
t = 4
%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 value of t.
v(4) =
%D
a(4)
Transcribed Image Text:The position vector r describes the path of an object moving in space. Position Vector Time r(t) = t²i + tj + 4t3/2k t = 4 %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 value of t. v(4) = %D a(4)
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