A person on a bicycle is 100 meters west of a person in a car. the person on the bike starts to ride at 8 meters per second directly east and at the same time the person in the car starts to drive directly north at 18 meters per second. Write the distance between the bicycle and the car as a function of time and then find the time when the distance between the bicycle and the car is a minimum. verify that this time does give a minimum distance and find this minimum distance ( hint: after x seconds the cyclist has ridden 8x meters and the car has driven 18x meters.)

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