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Problem 1: Consider a cubic polynomial in the following form: q(t) = a + a₁t + α₂t² + a¸t³ (a) Determine the coefficients a0, a1, a2, a3 that will satisfy the following constraints: to = 0 (second) tf = 2 (second) q(to) = qo = 15° q(tƒ) = qƒ = −20° ġ(to) = v = 10 (deg/sec) ȧ(t) = v₁ = -10 (deg/sec) (b) Find the position, velocity, and acceleration when t = 1 (second) (c) Sketch the curve of q(t) for t = [0,2] seconds. You can use either Matlab plot or hand sketch.

Problem 1: Consider a cubic polynomial in the following form: q(t) = a + a₁t + α₂t² + a¸t³ (a) Determine the coefficients a0, a1, a2, a3 that will satisfy the following constraints: to = 0 (second) tf = 2 (second) q(to) = qo = 15° q(tƒ) = qƒ = −20° ġ(to) = v = 10 (deg/sec) ȧ(t) = v₁ = -10 (deg/sec) (b) Find the position, velocity, and acceleration when t = 1 (second) (c) Sketch the curve of q(t) for t = [0,2] seconds. You can use either Matlab plot or hand sketch.

Computer Networking: A Top-Down Approach (7th Edition)
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 1: Consider a cubic polynomial in the following form: q(t) = a + a₁t + α₂t² + a¸t³ (a) Determine the coefficients a0, a1, a2, a3 that will satisfy the following constraints: to = 0 (second) tf = 2 (second) q(to) = qo = 15° q(tƒ) = qƒ = −20° ġ(to) = v = 10 (deg/sec) ȧ(t) = v₁ = -10 (deg/sec) (b) Find the position, velocity, and acceleration when t = 1 (second) (c) Sketch the curve of q(t) for t = [0,2] seconds. You can use either Matlab plot or hand sketch.
Transcribed Image Text:Problem 1: Consider a cubic polynomial in the following form: q(t) = a + a₁t + α₂t² + a¸t³ (a) Determine the coefficients a0, a1, a2, a3 that will satisfy the following constraints: to = 0 (second) tf = 2 (second) q(to) = qo = 15° q(tƒ) = qƒ = −20° ġ(to) = v = 10 (deg/sec) ȧ(t) = v₁ = -10 (deg/sec) (b) Find the position, velocity, and acceleration when t = 1 (second) (c) Sketch the curve of q(t) for t = [0,2] seconds. You can use either Matlab plot or hand sketch.
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