Jump to content

Need help from any math people here with special relativity.

Featured Replies

An object is going to travel 1,207 light years. It accelerates at a steady rate until the halfway point, where it reaches its maximum velocity of 18.75% of light speed, before starting to slow down at the same rate at which it accelerated.

Once the object reaches its destination, how much time will have passed for the object and how much time will have passed for a stationary observer?

Thank you.

Edited by Michael_123_

5 hours ago, Michael_123_ said:

An object is going to travel 1,207 light years. It accelerates at a steady rate until the halfway point, where it reaches its maximum velocity of 18.75% of light speed, before starting to slow down at the same rate at which it accelerated.

Once the object reaches its destination, how much time will have passed for the object and how much time will have passed for a stationary observer?

Thank you.

To transform between the proper time of the accelerating observer τ, and the stationary coordinates x and t, one can use (  Acceleration (special relativity) - Wikipedia   ) :

image.png.3a29564af7dcd657d332e0bd2c29ad90.png

From x and v at the midpoint one finds the acceleration α, t at the midpoint, and then, τ at the midpoint. 

Edited by Genady

Please sign in to comment

You will be able to leave a comment after signing in

Sign In Now

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.

Configure browser push notifications

Chrome (Android)
  1. Tap the lock icon next to the address bar.
  2. Tap Permissions → Notifications.
  3. Adjust your preference.
Chrome (Desktop)
  1. Click the padlock icon in the address bar.
  2. Select Site settings.
  3. Find Notifications and adjust your preference.