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) = (-7/50ft/s(c) When is the particle at rest?V s (smaller value)s (larger value)t = 0t = [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)ta(t) =25Find the acceleration after 1s.a(1) = (-6/25v ft/s2(g) Graph the position, velocity, and acceleration functions for the first 12 s.yy1001008080606040402020t24681012246.81012yy100100808060604040202024810122681012(h) When, forost< o, is the particle speeding up? (Enter your answer using interval notation.)(0,3) UWhen, for 0 st

Answered: Image /qna-images/answer/c8b8e685-3510-49d6-b612-34480a27c861.jpg

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. (t) = 0.01€* – 0.06t (a) Find the velocity at time t (in ft/s). 7(21 – 9) 50 v(t) (b) What is the velocity after 1 s? v(1) = (-7/50 ft/s

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. (t) = 0.01€* – 0.06t (a) Find the velocity at time t (in ft/s). 7(21 – 9) 50 v(t) (b) What is the velocity after 1 s? v(1) = (-7/50 ft/s

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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Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

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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