Question

given a coordinate system where the xy-plane is the ground and the north is oriented in the positive y direction and the east is oriented in the positive x-direction. an airplane takes off from the origin and is traveling at a constant velocity of 100m/s in the NE direction with an angle of incline of 45 degrees. after two minutes the airplane instantaneously levels off and heads due noth and continues at that heading.

(a)at time t = 4 minutes what is the position vector of the airplane?(calculate the displacement from its takeoff position.

(B) how many degrees must the pilot change course by at time t=2 minutes. that is, determine the angle between the two direction vectors associated with the airplane's flight pattern.

(c) determine the equation of the plane that the flight pattern of the airplane lies in.

(d) write the equation of the position vector of the airplane after t minutes from take-off as a piecewise function

Answer 1

Plame is at posi hon a us Pane at Posn a Paun ahts3 anis 12km rcls RPef an

Som 45 1ぶ11冠! 112 12-d 6 +2 12

gwen 거 144 (u-no) p 422 个2 n y cloutHon ny 11 5 456 V rs in mls