Comment by saosebastiao

9 years ago

The problem is that there are diminishing throughput returns to velocity. You need massive amounts of duplicated track for that to be feasible...on and off ramps for every entrance and exit. On and off ramp lengths grow exponentially relative to target velocity. That might be fine for long distance travel, where on and off ramps can be concentrated in few locations...urban travel not so much.

> On and off ramp lengths grow exponentially relative to target velocity

Centripetal acceleration on a curve with radius r is (v^2/r) so it seems that it grows quadratically, not exponentially.

Exponential growth would mean that the v appears in an exponent in the formula.