Greetings exalted ones
Pardon my lack of knowledge but I'm still learning
1. So say that a rocket has 8 km/ s of delta v, and say it's in a vaccum without any gravitational influence, and it's initial velocity is 0 km/ s, after it has burned all it's fuel, what would be its velocity? 8 km/ s?
2. If we have a hypothetical spacecraft with a vtol capability and somehow has enogh delta v to travel outside the solar system, will it be able to get on an escape trajectory out of earth just by going up vertically?
3. Say we have a new type of propulsion that can get us up to 5% the speed of light, and with enough fuel to get us anywhere in the solar system and back, what would be its trajectory to have an intercept with another body? Unlike a hofman transfer here the vessel is traveling at very high speeds and is directly in an escape trajectory out of earth (I know how inefficient that is with current propulsion methods but for the sake of this question...) I mean instead of waiting months or years with the engine on Idle just get to an escape trajectory with high velocity. Correct me if I'm wrong, but this would eliminate the need for the time consuming planetary alignment as we would be able to travel in almost is a straight line.
Say I want to try this in KSP, with infinite fuel, how should I plan the intercept with the target? I managed to get one with the moon when it was dirrectly overhead and it did work, the question is how can I do that with more distant target, which obviously wouldn't be in the same place relative to my successful intercept with the moon?
Thanks