Equations of motion of longitudinal dynamics (%50) Consider a point mass model for longitudinal dynamics of an aircraft. Here, v is velocity, L is lift, D is drag, T is thrust, y is flight pass angle and mg is weight of the aircraft. We suppose that the lift and drag can be model as L = Lo + Lede, Av=v-vo D = Do + Dsede, AT = T-To Here Lo, Loe, Do, and Dse are constants and know. Vo, Yo are velocity and flight path angle, To, Seo are thrust and elevator angle at the trim point. I DE img ,u= I.K A) Drive equations of motion (use forces in xp and z, directions). B) When vo, Yo are known, obtain the thrust and elevator angle for trim point (To =?, deo =?). C) Write equations in state space form. Suppose that x = =[AT] D) Linearize equations of motion. V