The position of a particle moving along the x axis depends on the time according to the equation x = ct2 = bt3, where x is in meters and t in seconds.What are the units of (a) constant c and (b) constant b? Let their numerical values be 3.0 and 2.0, respectively. (c) At what time does the particle reach its maximum positive x position? From t = 0.0 s to t = 4.0 s, (d) what distance does the particle move and (e) what is its displacement? Find its velocity at times (f) 1.0 s, (g) 2.0 s, (h) 3.0 s, and (i) 4.0 s. Find its acceleration at times (j) 1.0 s, (k) 2.0 s, (l) 3.0 s, and (m) 4.0 s.

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
Problem 10P: An object moves along the x axis according to the equation x = 3.00t2 2.00t + 3.00, where x is in...
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The position of a particle moving along the x axis depends on
the time according to the equation x = ct2 = bt3, where x is in meters
and t in seconds.What are the units of (a) constant c and (b) constant
b? Let their numerical values be 3.0 and 2.0, respectively. (c) At
what time does the particle reach its maximum positive x position?
From t = 0.0 s to t = 4.0 s, (d) what distance does the particle move
and (e) what is its displacement? Find its velocity at times (f) 1.0 s,
(g) 2.0 s, (h) 3.0 s, and (i) 4.0 s. Find its acceleration at times (j) 1.0 s,
(k) 2.0 s, (l) 3.0 s, and (m) 4.0 s.

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