You are analyzing the performance of a rocket that consists of a main stage with one strap-on booster. the main stage and the strap-on both have an equivalent exhaust velocity of 4000 m/s and both have the same propellant mass flow rate. the strap-on can be programmed to be ignited at any point during the main stage operation and it drops off the main stage when it has expended its propellant. the main stage has a propellant mass of 100 kg, a structural mass of 20 kg and the payload weighs 1 kg. the strap-on has a propellant mass of 10 kg and a structural mass of 2 kg. ignore the effects of gravity and drag. option1: the main stage and strap-on are ignited together at t=0 a) what is the vehicle velocity when the strap-on burns out? b) what is the vehicle velocity when the main stage burns out? option 2: the main stage is ignited at t=0. the strap-on is ignited when the main stage has expended half of its propellant c) what is the vehicle velocity when the strap-on burns out? d) what is the vehicle velocity when the main stage burns out?