Answered: 4) The acceleration of a particle is…

4) The acceleration of a particle is given by: a = -kv where k is a constant and v is the instantaneous speed. Determine the speed and the position of the particle as functions of time.

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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Conservation of Energy

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Question

4)
The acceleration of a particle is given by: a =-kv where k is a constant and v is the
instantaneous speed. Determine the speed and the position of the particle as functions of
time.
ANS.
v(t) = ve¯
-kt
s(t) = // (1 - e-kt)
k

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