The desired final acceleration is now 2g, with a corresponding value for A. Recall: 3 2t 1 T 2t - 3 T a(t) = – Ag 2 Acceleration feels like weight, and a rapid change in acceleration feels like a rapid change in weight. You don't want a too rapid change in weight -- the derivative a'(t) shouldn't be too great. Therefore: • Take the derivative of a(t). • Find t that maximizes a'(t). • Answer T (in seconds) such that the maximum value of a'(t) is 1/50 m/s³. (If this were the actual test, I would give you t. Here, I urge you to figure it out.)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The desired final acceleration is now 2g, with a
corresponding value for A. Recall:
3
(÷-)-
2t
2t
a(t) = – Ag
T
T
Acceleration feels like weight, and a rapid change in
acceleration feels like a rapid change in weight. You
don't want a too rapid change in weight -- the
derivative a'(t) shouldn't be too great. Therefore:
• Take the derivative of a(t).
• Find t that maximizes a'(t).
• Answer T (in seconds) such that the maximum
value of a'(t) is 1/50 m/s3.
(If this were the actual test, I would give you t.
Here, I urge you to figure it out.)
Transcribed Image Text:The desired final acceleration is now 2g, with a corresponding value for A. Recall: 3 (÷-)- 2t 2t a(t) = – Ag T T Acceleration feels like weight, and a rapid change in acceleration feels like a rapid change in weight. You don't want a too rapid change in weight -- the derivative a'(t) shouldn't be too great. Therefore: • Take the derivative of a(t). • Find t that maximizes a'(t). • Answer T (in seconds) such that the maximum value of a'(t) is 1/50 m/s3. (If this were the actual test, I would give you t. Here, I urge you to figure it out.)
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