A particle moves with position function s = t4 - 4t3 - 8t? + 25t, t20 (a) At what time does the particle have a velocity of 25 m/s? (Enter your answers as a comma-separated list.) t = (b) At what time is the acceleration 0? (Round your answer to two decimal places.)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
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A particle moves with position function
s = t4 - 4t3 - 8t? + 25t, t20
(a) At what time does the particle have a velocity of 25 m/s? (Enter your answers as a comma-separated list.)
t =
(b) At what time is the acceleration 0? (Round your answer to two decimal places.)
What is the significance of this?
At this time, the acceleration changes from positive to negative and the velocity attains a value of zero.
At this time, the acceleration changes from positive to negative and the velocity attains its minimum value.
At this time, the acceleration changes from negative to positive and the velocity attains its minimum value.
At this time, the acceleration changes from negative to positive and the velocity attains its maximum value.
At this time, the acceleration changes from positive to negative and the velocity attains its maximum value.
Transcribed Image Text:A particle moves with position function s = t4 - 4t3 - 8t? + 25t, t20 (a) At what time does the particle have a velocity of 25 m/s? (Enter your answers as a comma-separated list.) t = (b) At what time is the acceleration 0? (Round your answer to two decimal places.) What is the significance of this? At this time, the acceleration changes from positive to negative and the velocity attains a value of zero. At this time, the acceleration changes from positive to negative and the velocity attains its minimum value. At this time, the acceleration changes from negative to positive and the velocity attains its minimum value. At this time, the acceleration changes from negative to positive and the velocity attains its maximum value. At this time, the acceleration changes from positive to negative and the velocity attains its maximum value.
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