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College Physics
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ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
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
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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