A small 8.00-kg rocket bums fuel that exerts a time-varying upward force on the rocket. This force obeys the equation F = A + Bt2. Measurements show that at t = 0, the force is 100.0N, and at the end of the first 2.00 s, it is 150.0N.
(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 and (ii) 3.00 s after fuel ignition.
(c) Suppose you were using this rocket in outer space, far from all gravity. What would its acceleration be 3.00 s after fuel ignition?