Ah, the toothy piece. Since the picture is of an R26 from 2006 traction control was still legal and the more information the system had the happier it was. Somewhere else there were other sensors picking up actual road speed and front wheel speed to relate to rear wheel spin. You will find similar sensors on street cars with traction control and also as part of anti-lock braking systems.
I can't remember whether the laser bit was during practice or the race. I suspect practice because the teams will sometimes install instruments to collect data for setup and then remove them before the race.
When measuring wheel speed, reading multiple location points is more accurate than one. Many racing wheel speed sensors have multiple "tabs" in one rotation for reasons of resolution. They also read all four wheel speeds, and also read speed from the GPS system.
The blue rods in the picture are suspension sensors (probably Penny & Giles or Active, linear pots.) Calculations of roll, pitch, heave, warp, shocks speeds and RIDE HEIGHT change (distance from the setup table) are possible.
The only "true" ride height number is through the laser ride height sensors which are used in conjunction with the suspension sensors.
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