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.

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