Introduction to Classical Mechanics · Problem 11.28

Relativity (Kinematics) — Morin

Physics — Mechanics · accelerators-time

Problem

A spaceship is initially at rest in the lab frame. At a given instant, it starts to accelerate. Let this happen when the lab clock reads

t = 0

and the spaceship clock reads

t' = 0

. The proper acceleration is

a

. (That is, at time

t' + dt'

, the spaceship is moving at speed

a\,dt'

relative to the frame it was in at time

t'

.) Later on, a person in the lab measures

t

and

t'

. What is the relation between them?