Hi all,(adsbygoogle = window.adsbygoogle || []).push({});

I came up with the following problem myself and am trying to solve myself. I haven't seen it in any txtbook, grad or undergrad.

Suppose you have the ground frame (Earth).

Earth sees ship1 start at t=0, v=vo1, at x=xo1.

Earth sees ship2 start at t=0, v=vo2, at x=xo2

All velocities are near c. All objects travel along the x-axis only. Let ship2 start ahead of ship1, that is xo2 > xo1.

Earth sees ship2 begin to accelerate at a constant acceleration A at t=0.

If ship1 sends a radio signal (light speed) to ship2, at what position and time will all frames----- Earth, ship1, and ship 2--- say the signal arrives at ship2?

I can easily get x,t v,a for ship 2 as the Earth measures them. That's pretty common, but I can't find any lorentz-transformations for the same set of variables in the frame of ship1 or ship2. I'm willing to do the hard work, but can someone guide me to a resource or some help with how to get X,t for the different frames for such a situation?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Lorentz Transformations Acceleration: A simple problem

Loading...

Similar Threads for Lorentz Transformations Acceleration |
---|

B Tensors and Lorentz Transformations |

I Spacetime is homogeneous and isotropic |

I Lorentz transformation matrix |

A Inverse of infinitesimal Lorentz transformation |

I Proof that Galilean & Lorentz Ts form a group |

**Physics Forums | Science Articles, Homework Help, Discussion**