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A plane is heading to LAX with constant acceleration of 60 km/h². At time t = 0, the plane stays still at position 0 km. The state of the plane is measured every hour. (In other words, there is an hour between t and t + 1). The state vector has 3 [x₁ components. x = x₂ x3 position velocity [acceleration] For motion with constant acceleration, the velocity v of the object at time tą is calculated using equation Vt₂ = Vt₁ + a(t₂ − t₁). The position of the object at time to is calculated using equation t₂ = Xt₂ + vr₂(t2 − t₁) + 1 + ½{a(ts-tr)². = a(t2 — t₁)². 2 (a) Model the problem as a linear dynamical system.

A plane is heading to LAX with constant acceleration of 60 km/h². At time t = 0, the plane stays still at position 0 km. The state of the plane is measured every hour. (In other words, there is an hour between t and t + 1). The state vector has 3 [x₁ components. x = x₂ x3 position velocity [acceleration] For motion with constant acceleration, the velocity v of the object at time tą is calculated using equation Vt₂ = Vt₁ + a(t₂ − t₁). The position of the object at time to is calculated using equation t₂ = Xt₂ + vr₂(t2 − t₁) + 1 + ½{a(ts-tr)². = a(t2 — t₁)². 2 (a) Model the problem as a linear dynamical system.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A plane is heading to LAX with constant acceleration of 60 km/h². At time t = 0, the plane stays still at position 0 km. The state of the plane is measured every hour. (In other words, there is an hour between t and t + 1). The state vector x has 3 components. x = x1 x2 x3 position velocity Lacceleration_ For motion with constant acceleration, the velocity v of the object at time tą is calculated using equation Vt₂ = Vt₁ + a(t2 − t₁) . The position of the object at time to is calculated using equation xt₂ = xt₁ +v₁₁(t2 − t1) + = a(t2 − t₁)². (a) Model the problem as a linear dynamical system.
Transcribed Image Text:A plane is heading to LAX with constant acceleration of 60 km/h². At time t = 0, the plane stays still at position 0 km. The state of the plane is measured every hour. (In other words, there is an hour between t and t + 1). The state vector x has 3 components. x = x1 x2 x3 position velocity Lacceleration_ For motion with constant acceleration, the velocity v of the object at time tą is calculated using equation Vt₂ = Vt₁ + a(t2 − t₁) . The position of the object at time to is calculated using equation xt₂ = xt₁ +v₁₁(t2 − t1) + = a(t2 − t₁)². (a) Model the problem as a linear dynamical system.
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