Using Special Relativity, any constant acceleration places “you” ( or the accelerated object ) on a hyperbolic trajectory wrt any inertial frame of reference.
So, a laser beam, say, turned on at time “t=0” , when you begin accelerating and placed at a certain distance “behind” you, will never catch you ... i.e. you will never see it, even though you never exceed “c” in this frame.
It’s all simple algebra.
**It’s all simple algebra**
When I was in 8th (1967-68 school year) I was introduced to algebra. I said to myself, “what?? We are using the alphabet instead of numbers to do math?? Oh please NO!!”
I always enjoyed word problems WITH numbers. And the reality is, every calculation is a word problem. When I was presented an equation, with no situation in life to apply it to, I just wanted the period ending bell to ring.