A new design of Saturn 11 rocket with mass 1.05 x106 kg has a propulsion engine that can eject gases at a constant speed of 222.5 m/s (vGas) by burning fuel at a rate of 2.67  x10 5  kg/s (dmdT). In full tank, the rocket can carry a fuel of mass 40.75  x10 6  kg. If this design exceeds the velocity of 11,200 m/s it can successfully escape Earth's gravity. Determine if this is so. Find its maximum velocity (velyZ) in a PhysLab virtual simulation. (Pitch Angle = 0)

please do not round off the final answer, thank you!

A new design of Saturn 14 rocket with mass 1.89 x106 kg has a propulsion engine that can eject gases at a constant speed of 205.36 m/s (vGas) by burning fuel at a rate of 2.92  x10 5  kg/s (dmdT). In full tank, the rocket can carry a fuel of mass 46.3  x10 6  kg. If this design exceeds the velocity of 11,200 m/s it can successfully escape Earth's gravity. Determine if this is so. Find its maximum velocity (velyZ) in a PhysLab virtual simulation. (Pitch Angle = 0)

(COLLAB) A new design of Saturn 19 rocket with mass 1.35 x106 kg has a propulsion engine that can eject gases at a constant speed of 278.25 m/s (vGas) by burning fuel at a rate of 4.41  x10 5  kg/s (dmdT). In full tank, the rocket can carry a fuel of mass 46.41  x10 6  kg. If this design exceeds the velocity of 11,200 m/s it can successfully escape Earth's gravity. Determine if this is so. Find its maximum velocity (velyZ) in a PhysLab virtual simulation. (Pitch Angle = 0) (Please express the final answer without rounding off and without scientific notation)