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One of the best episodes of the Flash?
Also, some quick approximative math: The time dilation formula is given by the expression: ╬öt'=╬│ ╬öt, where ╬öt' is the time that has passed as experienced from someone who is moving at a constant speed ¤à and ╬öt is the time as experienced from someone at rest with respect to the moving frame of reference. The factor ╬│ is a factor of speed (the Lorentz factor) and is given by the expression ╬│ = 1/(sqrt(1-¤à^2/c^2)), where c is of course the speed of light.
8 minutes and 46 seconds is 526 seconds and is equal to Δt, since that was the time frame in which events would have transpired for normal people.
Approximately 30 min is the episode's runtime during which the characters were in Flash-Time, which is 1800 seconds and is equal to Δt' (rest frame as seen by Barry). Substituting in the original formula, we have:
1800=526*1/(sqrt(1-¤à^2/c^2)) --> (sqrt(1-¤à^2/c^2))=526/1800=0.292 --> 1-¤à^2/c^2=0.085 --> ¤à^2/c^2=0.9146 --> ¤à^2=(c^2)*0.9146 --> ¤à=0.956*c
So Barry had to be moving at approximately 95.6 % the speed of light, or at 286,601,589.8 meters/second.
I don't think the writers realized what they just did.´╗┐
EDIT: This might be lowballing, since the bomb probably would have taken off in less time than that.
Also, some quick approximative math: The time dilation formula is given by the expression: ╬öt'=╬│ ╬öt, where ╬öt' is the time that has passed as experienced from someone who is moving at a constant speed ¤à and ╬öt is the time as experienced from someone at rest with respect to the moving frame of reference. The factor ╬│ is a factor of speed (the Lorentz factor) and is given by the expression ╬│ = 1/(sqrt(1-¤à^2/c^2)), where c is of course the speed of light.
8 minutes and 46 seconds is 526 seconds and is equal to Δt, since that was the time frame in which events would have transpired for normal people.
Approximately 30 min is the episode's runtime during which the characters were in Flash-Time, which is 1800 seconds and is equal to Δt' (rest frame as seen by Barry). Substituting in the original formula, we have:
1800=526*1/(sqrt(1-¤à^2/c^2)) --> (sqrt(1-¤à^2/c^2))=526/1800=0.292 --> 1-¤à^2/c^2=0.085 --> ¤à^2/c^2=0.9146 --> ¤à^2=(c^2)*0.9146 --> ¤à=0.956*c
So Barry had to be moving at approximately 95.6 % the speed of light, or at 286,601,589.8 meters/second.
I don't think the writers realized what they just did.´╗┐
EDIT: This might be lowballing, since the bomb probably would have taken off in less time than that.
