The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = ti+tj (4, 2) (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) 2ti + 1j s(t) = V 4 +1 %3D a(t) = 2i (b) Evaluate the velocity vector and acceleration vector of the object at the given point. v(2) = 4i +j a(2) = 2i

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 7E
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The position vector r describes the path of an object moving in the xy-plane.
Position Vector
Point
r(t) = ti+ tj
(4, 2)
(a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object.
v(t)
2ti + 1j
s(t) =
VAP +1
a(t) =
2i
(b) Evaluate the velocity vector and acceleration vector of the object at the given point.
v(2) = 4i +j
a(2)
2i
%3D
Transcribed Image Text:The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = ti+ tj (4, 2) (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) 2ti + 1j s(t) = VAP +1 a(t) = 2i (b) Evaluate the velocity vector and acceleration vector of the object at the given point. v(2) = 4i +j a(2) 2i %3D
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