Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Question
Chapter 10, Problem 83SP
To determine
To find: the velocity and acceleration of the particlein terms of
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The position vector r describes the path of an object moving in the xy-plane.
Position Vector
Point
r(t) = 6 cos ti + 6 sin tj
(3V2, 3V2)
(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.
E) -
=
Find a vector equation and a parametric equation for the line that
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The position vector of a particle is r(t). Find the requested vector.
The acceleration at t =
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4
7C
= 16i + 36k
4.
7C
= -16i +36k
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7て
= -16i - 36k
4.
7C
= 40j + 36k
4
Chapter 10 Solutions
Calculus
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