hey! my friend was just asking this to me the other day, if spaceship #1 travelling at 0.8c passes spaceship #2 travelling at 0.9c, what would spaceship #1 see spaceship#2 going at?
another question: from earth's perspective, if a rocket accelerates from 0.7c to 0.8c and next to it another rocket accelerates from 0.8c to 0.9c, while both rockets have same thrust, would the observer from earth see the rockets accelerate for the same amount of time?
thanks
Hey! You are asking some hardcore questions there, they both feature
relativistic relative velocities. It's the basic idea of relative velocities (throw a ball at 10 kilometres an hour out of a car going 20 kilometres an hour, to a stationary observer those are added to give 30), but you need to add in the effects of time dilation and length contraction
here's some info on it, but it goes
way beyond what you need for the HSC, and way beyond what I've touched in my studies (Jake has done it, he might be able to help!)
For your second question, again I'm honestly not sure, but I
think the faster rocket would be seen to accelerate for longer due to increased effects of time dilation? That would be my (very uncertain) guess - These are really cool questions to be asking!!