Well technically if the earth was constantly accelerating we would feel gravity. Only if it stayed at the same speed would the relative speed be zero. So, according to the FEers the earth is moving up faster and faster in ever increasing speed?
I wonder how soon we go faster than light and the whole world goes dark?
The FAQ tells us (And proves mathematically) that earth cannot go faster than the speed of light. I am pleased about that because relativity tells us that even though you continue to feel 1 g acceleration, you just keep getting closer and closer to the speed of light without ever getting there.
The relevant equation is v/c = tanh (at/c). Since tanh(at/c) is always less than 1, you can never reach the speed of light.
According to the theory of special relativity, earth accelerating at one standard gravity (9.80665 m/s²) will have the speeds shown in the table below.
T (days), v/c
10, 0.028255
20, 0.056465
30, 0.084586
40, 0.112572
50, 0.140380
60, 0.167969
70, 0.195298
80, 0.222326
90, 0.249017
100, 0.275335
110, 0.301246
120, 0.326721
130, 0.351729
140, 0.376245
150, 0.400245
160, 0.423708
170, 0.446617
180, 0.468954
190, 0.490707
200, 0.511865
210, 0.532420
220, 0.552366
230, 0.571698
240, 0.590416
250, 0.608520
260, 0.626012
270, 0.642895
280, 0.659176
290, 0.674862
300, 0.689961
310, 0.704482
320, 0.718437
330, 0.731836
340, 0.744692
350, 0.757019
360, 0.768829
1 year, 0.774818
400, 0.811193
500, 0.888158
600, 0.934877
700, 0.962469
2 years, 0.968315
800, 0.978500
900, 0.987726
1000, 0.993007
3 years, 0.995924
4 years, 0.999482
5 years, 0.999934
We will get closer and closer, but never get there. So its nice to say for a change, that one is water tight. The FAQ hasn't made a mess of things. Flat Earth stands.