The ASM-135 ASAT (Anti-Satellite) was a US missile system designed to destroy satellites in low Earth orbit. It was developed by Ling-Temco-Vought Aerospace in the 1980s. This system was launched from a F-15A fighter in a near vertical zoom climb (see attached picture) and destroyed satellites by directly colliding with them at high speed ("kinetic kill"). This technology was only tested once at prototype stage and never entered production or seen real life use. 

We want to obtain the Thrust to Weight (T2W) ratio for the first stage of this missile system (initial T2W, take the initial missile mass). 

Parameters for this first stage:

• Initial velocity of the F-15 launch platform : 750 km/h
• Final velocity of the ASM-135 missile at the end of the 1st stage burn: 4500 km/h
• Initial mass of the missile : 1500 kg
• Final mass of the missile after 1st stage burn: 500 kg
• Acceleration due to gravity : 9.81 m/s²
• Burn time of the missile's rocket motor : 15 s

Suppose a vertical launch and trajectory and take into account the gravity pull on the missile. 

(These values are made up for this test, they may not be the same as for the real ASM-135)