In: Physics
An unmarked police car traveling a constant 85 km/h is passed by a speeder traveling 139 km/h . Precisely 1.00 s after the speeder passes, the police officer steps on the accelerator; if the police car's acceleration is 2.40 m/s2 , how much time passes after the police car is passed by a speeder and before the police car overtakes the speeder (assumed moving at constant speed)?
Speed of police car
Speed of the speeder
For the time , the speeder travels a distance
In this time , the police man travels a distance
After traveling distance police man car's acceleration is for a time to catch speeder.
In this time the speeder travels a distance
Total distance traveled by police man
Total distance traveled by speeder is
The above distances must be equal, so
Total time taken is
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