The position vector r describes the path of an object moving in space. Position Vector Time 1 r(t): 7i + tj +tk t= 2 %3D (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) =7i+j + %3D s(t) : V 50 + %3D a(t) (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. v(2) = 7i +j +k a(2) = 1/2 1/2

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
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The position vector r describes the path of an object moving in space.
Position Vector
Time
r(t) = 7ti + tj +
4
%3D
t= 2
(a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object.
v(t) = 7i+j + *
%3D
s(t) =
50 +
4
a(t) =
(b) Evaluate the velocity vector and acceleration vector of the object at the given value of t.
v(2) =
a(2) =
1/2
H/2
Transcribed Image Text:The position vector r describes the path of an object moving in space. Position Vector Time r(t) = 7ti + tj + 4 %3D t= 2 (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) = 7i+j + * %3D s(t) = 50 + 4 a(t) = (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. v(2) = a(2) = 1/2 H/2
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