5. The acceleration of a particle as it moves along a straight line is given by a = (2t - 1) m/s", where t is in seconds. If s = 1 m and v = 2 m/s when t = 0, determine the particle's velocity and position when t = 6 s. Also, determine the total distance the particle travels during this time period.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Lessons Discussed:

Dynamics of Rigid Bodies, Erratic Motion, Rectilinear Motion, Curvilinear Motion, Motion of a Projectile: Normal and Tangential Components.

 

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5. The acceleration of a particle as it moves along a straight line is given by a = (2t - 1)
m/s?, where t is in seconds. If s = 1 m and v = 2 m/s when t = 0, determine the particle's
velocity and position when t = 6 s. Also, determine the total distance the particle travels
during this time period.
Transcribed Image Text:5. The acceleration of a particle as it moves along a straight line is given by a = (2t - 1) m/s?, where t is in seconds. If s = 1 m and v = 2 m/s when t = 0, determine the particle's velocity and position when t = 6 s. Also, determine the total distance the particle travels during this time period.
Expert Solution
Step 1

Given

Acceleration equation a = (2t-1) m/s2

Condition

s = 1 m

v = 2 m/s

t = 0 s

Time t = 6 s

To find

Particle velocity

Particle position

Total distance

 

 

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