- #1

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## Homework Statement:

- Hoping to get some help with the details of Special Relativity in Accelerating frames of reference.

## Relevant Equations:

- Integrals, Graphing, Velocity. Time dilation factor.

Hey everyone, I have generated a nice little velocity vs time graph that I would love if somebody could help me put to use.

I have marked data points on the x-axis for the Y-value for every second on the function.

Just to be clear: X-axis = time in seconds & Y-axis = velocity in meters/second. We have a constant acceleration.

I have also made an integral of the function, calculating the total area under the curve to be exactly 4.999993*10^9

However, since the 100 data points on the table would be quite tedious to manually apply the time dilation to √1-v^2/c^2 for every seconds at the different velocities. I have wondered whether there is a way to insert the values in my table directly into a calculus such that I retrieve the accumulated amount of time dilation over the 100 second journey depicted on the graph. I think there should be a way integrate these values with the Time dilation factor, even if we have to assume that we travel in constant motion, that increase every second.

Thanks in advance:)

I have marked data points on the x-axis for the Y-value for every second on the function.

Just to be clear: X-axis = time in seconds & Y-axis = velocity in meters/second. We have a constant acceleration.

I have also made an integral of the function, calculating the total area under the curve to be exactly 4.999993*10^9

However, since the 100 data points on the table would be quite tedious to manually apply the time dilation to √1-v^2/c^2 for every seconds at the different velocities. I have wondered whether there is a way to insert the values in my table directly into a calculus such that I retrieve the accumulated amount of time dilation over the 100 second journey depicted on the graph. I think there should be a way integrate these values with the Time dilation factor, even if we have to assume that we travel in constant motion, that increase every second.

Thanks in advance:)