Problem 2: Consider a LSPB trajectory of the following form: q(t) = α 90 +-t², 2 9ƒ +90-V tf +Vt, 0≤t≤tb tb
Problem 2: Consider a LSPB trajectory of the following form: q(t) = α 90 +-t², 2 9ƒ +90-V tf +Vt, 0≤t≤tb tb
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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![Problem 2: Consider a LSPB trajectory of the following form:
q(t)
=
α
90 +-t²,
2
9ƒ +90-V tf +Vt,
0≤t≤tb
tb <t≤tf-to
2
at
2
2
α
+ α tft - 1/4 t², tf − t p < t ≤ Ę;
tƒ
(a) Determine the LSPB trajectory that will satisfy the following constraints:
to
=
0 (second)
tf = 2 (second)
q(to) = q = 0°
a(t) = q = 20°
af
V = 15 (deg/sec)
(b) Also find the position, velocity, and acceleration when t =
1 (second)
(c) Sketch the curves of q(t), ġ(t), and ä(t) for t = [0,2] seconds. You can use either
Matlab plots or hand sketches.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa62be61-78bb-4054-891e-49bb29e1fd0b%2F55d99e0f-086d-4d91-b6ad-37f26c9b1b3f%2Fp4i7sbb_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 2: Consider a LSPB trajectory of the following form:
q(t)
=
α
90 +-t²,
2
9ƒ +90-V tf +Vt,
0≤t≤tb
tb <t≤tf-to
2
at
2
2
α
+ α tft - 1/4 t², tf − t p < t ≤ Ę;
tƒ
(a) Determine the LSPB trajectory that will satisfy the following constraints:
to
=
0 (second)
tf = 2 (second)
q(to) = q = 0°
a(t) = q = 20°
af
V = 15 (deg/sec)
(b) Also find the position, velocity, and acceleration when t =
1 (second)
(c) Sketch the curves of q(t), ġ(t), and ä(t) for t = [0,2] seconds. You can use either
Matlab plots or hand sketches.
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