Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 10.5, Problem 3PS
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
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v(t) =
Find the acceleration vector of the point.
a(t) =
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=
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Math 153
Concept Check 23
Problem 1) Let T (t) represent the unit tangent vector of 7(t) = . A student is asked to
calculate T '(0).
The student starts by finding i '(t) =. Plugging in t = 0, they find i '(0) =. This is
already a unit vector, so they conclude that T'(0) =.
Finally, to find T '(0), they take the derivative of component-wise. They conclude that
T'(0) =.
The student's answer is incorrect. What mistake did the student make?
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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