The position of a particle moving along an x axis is given by x = 12.0t2 - 2.00t3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 3.00 s. (d) What is the maximum positive coordinate reached by

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter3: Motion Along A Straight Line
Section: Chapter Questions
Problem 113CP: The position of a particle moving along the x -axis varies with time according to x(t)=5.0t24.0t3 ....
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The position of a particle moving along an x axis is given by x = 12.0t2 - 2.00t°, where x is in meters and t is in seconds. Determine (a) the
position, (b) the velocity, and (c) the acceleration of the particle at t = 3.00 s. (d) What is the maximum positive coordinate reached by
the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is
it reached? (h) VWhat is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Determine the
average velocity of the particle between t = 0 and t 3.00 s.
(a) Number
i
Units
(b) Number
Units
(c) Number
i
Units
(d) Number
Units
(e) Number
Units
(f) Number
Units
(g) Number
i
Units
(h) Number
i
Units
(i) Number
i
Units
Transcribed Image Text:The position of a particle moving along an x axis is given by x = 12.0t2 - 2.00t°, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 3.00 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) VWhat is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Determine the average velocity of the particle between t = 0 and t 3.00 s. (a) Number i Units (b) Number Units (c) Number i Units (d) Number Units (e) Number Units (f) Number Units (g) Number i Units (h) Number i Units (i) Number i Units
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