(Solved): shortly after take off, the ship flies straight up in dynamic equilibrium. What is the velocity of O ...

The Planet Express ship Old Bessie (yes, from Futurama) has a cartoons ability to take off in strange ways. When leaving Earth to take a (large) package to Mars, the total mass of the ship and crate is of $m_1=5.5\times 10^6\mathrm{kg}$. When angled so the engines point at the ground, the engines of Old Bessie are able to give a constant thrust of 100 mega-Newtons, she has a diameter of 8 meters. Despite its weird shape, treat the ship like it has a a circular cross section $\left(A=?R^2\right)$ and conical shape, giving it a drag coefficient of $C=0.5$.