A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward). The rocket's acceleration has components ax(t)=?t2 and ay(t)=???t, where ? = 2.50 m/s4, ? = 9.00 m/s2, and ? = 1.40 m/s3. At t=0 the rocket is at the origin and has velocity v? 0=v0xi^+v0yj^ with v0x = 1.00 m/s and v0y = 7.00 m/s.
What is the maximum height reached by the rocket?
What is the horizontal displacement of the rocket when it returns to y=0?