How fast is warp speed?

In the year 2063 humanity broke the warp barrier when Zefram Cochrane launched the “Phoenix” and flew at the speed of light. Since that time Earth, and later the Federation, continued to develop faster warp engines. By the late 24th Century, a few starships were able to travel at speeds matching 9.999, allowing Starfleet to explore even further into the unknown.

This section gives a general guideline on warp speed conversion as offered in the Star Trek Starfleet Technical Manual.

Speed	x speed of light	kilometre per hour (km/h, kph)	miles per hour (mi/h, mph)
standard orbit	0.00001	10,792.528488	6,706.16629384
impulse	0.25	269,813,212.2	167,654,157.346
1	1	1,079,252,848.8	670,616,629.384
2	8	8,634,022,790.4	5,364,933,035.08
3	27	29,139,826,917.6	18,106,648,993.4
4	64	69,072,182,323.2	42,919,464,280.6
5	125	134,906,606,100	83,827,078,673
6	216	233,118,615,341	144,853,191,947
7	343	370,183,727,138	230,021,503,879
8	512	552,577,458,586	343,355,714,245
9	729	786,775,326,775	488,879,522,821
10	1000	1,079,252,848,800	670,616,629,384

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