Please, solve all the parts of the problem:

Two propellant combinations are being considered for a launch vehicle. Combination 1 is liquid hydrogen ( density =76kg/m3 ) and liquid oxygen (density =1230kg/m3 ) with a specific impulse of 450s and an oxidizer to fuel mass ratio of 4.83 . Combination 2 is RP-1 ( density =750kg/m3) and liquid oxygen with a specific impulse of 358s and an oxidizer to fuel mass ratio of 2.77 . The maximum diameter of the propellant tanks (vehicle diameter) is 3m. The vehicle payload mass is 1000kg, the structural mass fraction is 0.09 , and the required velocity increment (v) is 8km/s. For each system: (a) The mass of the fuel (b) The mass of the oxidizer (c) The size of each tank (assume cylindrical tanks with flat ends or spherical if appropriate) (d) The minimum length of the vehicle (assume the tanks are stacked end to end) To simplify the comparison, you can neglect the velocity penalty associated with gravity acting on your vehicle during the burn time (gtb). You will need to reference the class notes on the Rocket Equation (Lecture 14)