A model airplane with mass 2.20 kg moves in the xy-plane such that its x- and y-coordinates vary in time according to x(t) = a - pt' and yet) = -yt - lit2 , where a = I.S0m, p = 0.120 m/s, -y = 3.00 m/s, and li = 1.00 m/s2.
(a) Calculate the x- and y-components of the net force on the plane as functions of time. (b) Sketch the trajectory of the airplane between t = 0 and t = 3.00 s, and draw on your sketch vectors showing the net force on the airplane at t = 0, t = 1.00 s, t = 2.00 s, and t = 3.00 s. For each of these times, relate the direction of the net force to the direction that the airplane is turning, and to whether the airplane is speeding up or slowing down (or neither). (c) What are the magnitude and direction of the net force at t = 3.00 s?