The position of a particle moving along the x axis depends on the time according to the equation x = ct4 - bt5, where x is in meters and t in seconds. Let c and b have numerical values 2.5 m/s4 and 1.2 m/s, respectively. From t = 0.0 s to t = 2.5 s, Find its velocity at times (b) 1.0O s, (c) 2.0 s, (d) 3.0 s, and (e) 4.0 s. Find its acceleration at (i) 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 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, 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 = ct - btº, where x is in meters
and t in seconds. Let c and b have numerical values 2.5 m/s4 and 1.2 m/s³, respectively. From t = 0.0 s tot = 2.5 s,
Find its velocity at times (b) 1.O s, (c) 2.0 s, (d) 3.0 s, and (e) 4.0 s. Find its acceleration at (i) 4.0 s.
Transcribed Image Text:The position of a particle moving along the x axis depends on the time according to the equation x = ct - btº, where x is in meters and t in seconds. Let c and b have numerical values 2.5 m/s4 and 1.2 m/s³, respectively. From t = 0.0 s tot = 2.5 s, Find its velocity at times (b) 1.O s, (c) 2.0 s, (d) 3.0 s, and (e) 4.0 s. Find its acceleration at (i) 4.0 s.
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