Compute the initial upward acceleration of a rocket of mass 1.5 ✕ 104 kg if the initial upward force produced by its engine (the thrust) is 2.7 ✕ 105 N. Do not neglect the weight of the rocket.

Question

Pleas tell me the steps, I've tried getting the acceleration and adding (g) but it doesn't work.
Note: Subtracting (g) doesn't work either.

Answer 1

Thrust - weight = m a
Thrust = m g + m a

a =( Thrust-mg ) / m

a = Thrust/m - g

a = 27/1.5 - 9.81

= 18 - 9.81 = 8.19 m/s^2