(Solved): please help with a-g :) A small 8.00kg rocket burns fuel that exerts a time-varying upward force ...

A small $$8.00\mathrm{kg}$$ rocket burns fuel that exerts a time-varying upward force on the rocket (assume constant mass) as the rocket moves upward from the launch pad. This force obeys the equation $$F=A+B{t}^2$$. Measurements show that at $$t=0$$, the force is $$100.0\mathrm{N}$$, and at the end of the first $$2.00\mathrm{s}$$, it is $$144.0\mathrm{N}$$. Find the constant $$A$$. Express your answer with the appropriate units. Part B Find the constant $$B$$. Express your answer in newtons per second squared. Find the net force on this rocket at the instant after the fuel ignites. Express your answer with the appropriate units. Part D Find the acceleration of this rocket at the instant after the fuel ignites. Express your answer with the appropriate units. Find the net force on this rocket $$3.00\mathrm{s}$$, after the fuel ignites. Express your answer with the appropriate units. Part F Find the acceleration of this rocket $$3.00\mathrm{s}$$, after fuel ignition. Express your answer with the appropriate units. Suppose that you were using this rocket in outer space, far from all gravity. What would its acceleration be $$3.00\mathrm{s}$$, after fuel ignition? Express your answer with the appropriate units.