Solution: 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, a

A faulty model rocket moves in the *xy*-plane (the positive *y*-direction is vertically upward). The rockets acceleration has components a_{x}(t)= t^{2} and a_{y}(t)= - t, where /s^{4} = 2.50 /s^{2},
/s^{3} = 9.00 t = 0, and _{0} = v_{0x} + v_{0y} = 1.40 v_{0x}. At m/s the rocket is at the origin and has velocity v_{0y} 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.