8) The acceleration of a particle is defined by the relation a= kt². Knowing that v = -10 m/s when t = 0 and that v= 10 m/s when t = 2 s, determine the constant k. Write the equations of motion knowing also that x = 0 when t = 2 s. ANS. k=7.5 m/s^4 x(t) = 0.625*t^4-10t+10 (meters)

8) The acceleration of a particle is defined by the relation a= kt². Knowing that v = -10 m/s when t = 0 and that v= 10 m/s when t = 2 s, determine the constant k. Write the equations of motion knowing also that x = 0 when t = 2 s. ANS. k=7.5 m/s^4 x(t) = 0.625*t^4-10t+10 (meters)

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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8)
The acceleration of a particle is defined by the relation a = kt². Knowing that v = -10 m/s
when t = 0 and that v= 10 m/s when t = 2 s, determine the constant k. Write the
equations of motion knowing also that x =0 when t = 2 s.
ANS.
k=7.5 m/s^4
x(t) = 0.625*t^4-10t+10 (meters)

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