Need help from any math people here with special relativity.

[Michael_123_]

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 July 3, 2023 by Michael_123_

[Genady]

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   ) :

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

Edited July 4, 2023 by Genady