A lidar (laser radar) gun is an alternative to the standard radargun that uses t

Question

A lidar (laser radar) gun is an alternative to the standard radargun that uses the Doppler effect to catch speeders. A lidar gunuses an infrared laser and emits a precisely timed series of pulsesof infrared electromagnetic waves. The time for each pulse totravel to the speeding vehicle and return to the gun is measured.In one situation a lidar gun in a stationary police car observes adifference of 1.39 10-7 s inround-trip travel times for two pulses that are emitted0.520 s apart. Assuming that thespeeding vehicle is approaching the police car essentially head-on,determine the speed of the vehicle.

Explanation / Answer

Given c = 299,792,458 meters per second 299792458*1.39*10^-7 =41.67 (i.e. the car went 41.67 meters in 0.52seconds) speed= distance/ time =41.67/0.52 =80.13 m/s Answer: 80.13 m/s

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