A faulty model rocket moves in the xy-plane (the positive y direction is vertically upward). The rocket's acceleration has components ax (t) = at2 and ay (t) = B - yt where a = 2.50 m/s4,
B = 9.00 m/S2, and -y = 1.40 m/S3. At t = 0 the rocket is at the origin and has velocity Vo = vox i + VOy J with vOx, = 1.00 m/s and VOy = 7.00 m/s.
(a) Calculate the velocity and position vectors as functions of time.
(b) What is the maximum height reached by the rocket?
(c) Sketch the path of the rocket.
(d) What is the horizontal displacement of the rocket when it returns to y = O?