A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward). The rockets acceleration has components ax(t)= t2 and ay(t)= - t, where /s4 = 2.50 /s2, /s3 = 9.00 t = 0, and 0 = v0x + v0y = 1.40 v0x. At m/s the rocket is at the origin and has velocity v0y with m/s = 1.00 and = 7.00 .
Calculate the velocity vector as a function of time.
Calculate the position vector as a function of time.
What is the maximum height reached by the rocket?
What is the horizontal displacement of the rocket when it returns to y = 0?
Sketch the path of the rocket.