1. Two firecrackers explode at the same place in the laboratory and are separated by a time of 3 years as measured on a lab clock.
(a) What is the spatial distance between these two events in a rocket in which the events are separated in time by 5 years as measured on rocket clocks?
(b) What is the relative speed of the rocket and the lab frames?
2. Relevant equations
? – I am not exactly sure, but, I believe one relevant equation is:
t` = γ (τ – βx)
x` = γ (x – βτ)
3. The attempt at a solution
Trying to find x:
t`/γ = τ – βx
βx = -t`/γ + τ
x = -t`/γ + τ
Thank you so much for any help. This is my first Physics course so if you don’t mind could you assume I know literally nothing, like less than an ant?
My problem is I am thinking: what is the velocity? I am really lost/confused