9) The acceleration of a particle is defined by the relation a = -k√y where k is a constant. Knowing that at x = 0 and v = 25 ft/s at t = 0 and that v = 12 ft/s at x = 6 ft, determine the velocity of the particle when x = 8 ft and the time required for the particle to come to rest. ANS. v(x) = (125 – 13.91x)2/3 ft/sec v(x = 8 ft)= 5.74 ft/sec time to come to rest = 1.08 sec

9) The acceleration of a particle is defined by the relation a = -k√y where k is a constant. Knowing that at x = 0 and v = 25 ft/s at t = 0 and that v = 12 ft/s at x = 6 ft, determine the velocity of the particle when x = 8 ft and the time required for the particle to come to rest. ANS. v(x) = (125 – 13.91x)2/3 ft/sec v(x = 8 ft)= 5.74 ft/sec time to come to rest = 1.08 sec

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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Question

9)
- k√y where k is a constant.
The acceleration of a particle is defined by the relation a = -
Knowing that at x =0 and v= 25 ft/s at t= 0 and that v = 12 ft/s at x= 6 ft, determine the
velocity of the particle when x = 8 ft and the time required for the particle to come to rest.
ANS.
v(x) = (125 – 13.91x)²/3 ft/sec
v(x = 8 ft) = 5.74 ft/sec
time to come to rest = 1.08 sec

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