Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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3. How to solve E, G, and H? 

A particle moves according to a law of motion s = f(t), t 2 0, where t is measured in seconds and s in feet.
f(t) = 0.01t4 – 0.06t3
(a) Find the velocity at timet (in ft/s).
7(21 – 9)
v(t) =
50
(b) What is the velocity after 1 s?
v(1) = (-7/50
ft/s
(c) When is the particle at rest?
V s (smaller value)
s (larger value)
t = 0
t = [9/2
(d) When is the particle moving in the positive direction? (Enter your answer using interval notation.)
(e) Find the total distance traveled during the first 12 s. (Round your answer to two decimal places.)
103.68
|× ft
(f) Find the acceleration at time t (in ft/s2).
3(t– 3)t
a(t) =
25
Find the acceleration after 1s.
a(1) = (-6/25
v ft/s2
(g) Graph the position, velocity, and acceleration functions for the first 12 s.
y
y
100
100
80
80
60
60
40
40
20
20
t
2
4
6
8
10
12
2
4
6.
8
10
12
y
y
100
100
80
80
60
60
40
40
20
20
2
4
8
10
12
2
6
8
10
12
(h) When, forost< o, is the particle speeding up? (Enter your answer using interval notation.)
(0,3) U
When, for 0 st<o, is it slowing down? (Enter your answer using interval notation.)
(3.2)
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Transcribed Image Text:A particle moves according to a law of motion s = f(t), t 2 0, where t is measured in seconds and s in feet. f(t) = 0.01t4 – 0.06t3 (a) Find the velocity at timet (in ft/s). 7(21 – 9) v(t) = 50 (b) What is the velocity after 1 s? v(1) = (-7/50 ft/s (c) When is the particle at rest? V s (smaller value) s (larger value) t = 0 t = [9/2 (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total distance traveled during the first 12 s. (Round your answer to two decimal places.) 103.68 |× ft (f) Find the acceleration at time t (in ft/s2). 3(t– 3)t a(t) = 25 Find the acceleration after 1s. a(1) = (-6/25 v ft/s2 (g) Graph the position, velocity, and acceleration functions for the first 12 s. y y 100 100 80 80 60 60 40 40 20 20 t 2 4 6 8 10 12 2 4 6. 8 10 12 y y 100 100 80 80 60 60 40 40 20 20 2 4 8 10 12 2 6 8 10 12 (h) When, forost< o, is the particle speeding up? (Enter your answer using interval notation.) (0,3) U When, for 0 st<o, is it slowing down? (Enter your answer using interval notation.) (3.2)
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