The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = ti + (-t² + 7)j (1, 6) (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) = s(t) a(t) : %3D (b) Evaluate the velocity vector and acceleration vector of the object at the given point. v(1) = a(1) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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12.3,1

The position vector r describes the path of an object moving in the xy-plane.
Position Vector
Point
r(t) = ti + (-t2 + 7)j (1, 6)
(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.
v(1) =
a(1) =
Transcribed Image Text:The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = ti + (-t2 + 7)j (1, 6) (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. v(1) = a(1) =
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