Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 10.5, Problem 9PS
To determine
To find the tangential and normal components of the object’s acceleration for the position
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The motion of a point on the circumference of a rolling wheel of radius 4 feet is described by the vector
function
r(t) = 4(12t - sin(12t))i + 4(1 − cos(12t))j
Find the velocity vector of the point.
v(t) =
Find the acceleration vector of the point.
a(t) =
Find the speed of the point.
s(t) =
=
The motion of a point on the circumference of a rolling wheel of radius 5 feet is described by the vector
function
r(t)
=
Find the velocity vector of the point.
v(t) =
=
5(13t – sin(13t))i + 5(1
=
Find the acceleration vector of the point.
a(t)
Find the speed of the point.
s(t) =
65√2- 2 cos (13t)
=
- cos(13t))j
Add Work
The position vector r describes the path of an object moving in the xy-plane.
Position Vector
Point
r(t) = 2 cos ti + 2 sin tj
(VZ, V2)
(a) Find the velocity vector, speed, and acceleration vector of the object.
v(t)
=
s(t)
a(t) =
(b) Evaluate the velocity vector and acceleration vector of the object at the given point.
a(#) =
Chapter 10 Solutions
Calculus
Ch. 10.1 - Prob. 1PSCh. 10.1 - Prob. 2PSCh. 10.1 - Prob. 3PSCh. 10.1 - Prob. 4PSCh. 10.1 - Prob. 5PSCh. 10.1 - Prob. 6PSCh. 10.1 - Prob. 7PSCh. 10.1 - Prob. 8PSCh. 10.1 - Prob. 9PSCh. 10.1 - Prob. 10PS
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