A small 8.00 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+Bt^2. Measurements show that at t=0, the force is 100.0 N, and at the end of the first 2.00 s, it is 156.0 N.

a. Find the constants A and B, including their SI units.
b. Find the net force on this rocket and its acceleration.

i. the instant after the fuel ignites.
ii. 3.00 s after the fuel ignites.

c. Suppose that you were using this rocket in outer space, far from all gravity. What would its acceleration be 3.00 s after fuel ignition?