Part a If the position of a particle is given by x = 20t – 5t3, where x is in meters and t is in seconds, when, if ever, is the particle's velocity zero? Part b When is its acceleration a zero? Part c For what time range (positive or nega- tive) is the acceleration negative?

Part a If the position of a particle is given by x = 20t – 5t3, where x is in meters and t is in seconds, when, if ever, is the particle's velocity zero? Part b When is its acceleration a zero? Part c For what time range (positive or nega- tive) is the acceleration negative?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 27P: A particles acceleration is (4.0i+3.0j)m/s2. At t=0, its position and velocity are zero. (a) What...

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How do i solve this question

Problem 3
If the position of a particle is given by
x = 20t – 5t3, where a is in meters and t is in
seconds, when, if ever, is the particle's velocity
zero?
Part b When is its acceleration a zero?
Part c For what time range (positive or nega-
tive) is the acceleration negative?
Part d For what time range (positive or nega-
tive) is the acceleration positive?
Part e Graph x (t), v (t), and a (t).

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