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The V-A-F Ballad IV

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Subject: The V-A-F Ballad IV
From: xip1415...@gmail.com (xip14)
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by: xip14 - Sat, 13 Jan 2024 14:53 UTC

Here is a web page adding speeds v and w.

https://demonstrations.wolfram.com/EinsteinsFormulaForAddingVelocities/

Suppose a baseball team is traveling on a train moving at v = 60 mph. The star fastball pitcher needs to tune up his arm for the next day’s game. Fortunately, one of the railroad cars is free, and its full length is available. If his w = 90 mph pitches are in the same direction the train is moving, the ball will actually be moving at V = 150 mph relative to the ground. The law of addition of velocities in the same direction is relatively straightforward, V = w + v. But according to Einstein’s special theory of relativity, this is only approximately true...

Unquote.

Lets say the speed limit on the track is c = 120 miles per hour. Nothing on track goes faster than speed-c, not even the baseball.

Use ( 5 /4 ) for dimensionless reduction factor greater than 1.

V = ( 60 mph + 90 mph ) / ( 5 /4 ) = 120 mph

60 mph-train + 60 mph-bball = 120 mph

30 mph-train + 90 mph-bball = 120 mph

48 mph-train + 72 mph-bball = 120 mph

The last option is what you might call “symmetric.”

V = 60 / ( 4 / 5 ) + 90 / ( 4 / 5 ) = 120

Einstein-EDoMB-1905-Section §5, quote:

“It is worthy of remark that v and w enter into the expression for resultant velocity in a symmetrical manner.”

The train is going down the track at 60 mph. Somebody decides to toss a baseball. The train must slow down to 48 mph.

Gimme a break !

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