How did the chicken cross the road?

A chicken decides to cross a road. The road is perfectly straight, runs north-south, and is full of cars driving by from south to north. The cars have a log-normal distribution for the distance between each car. However, the cars all travel at 80 km/hr.

The chicken stands next to the road on the west side, waits until a car goes by, and then immediately starts to cross the road at 0.25 m/s. What angle should the chicken cross at to maximize her chance of making it across the road without getting hit by a car? Express your answer as radians north of east.

Details and assumptions

  • The chicken is a point particle.
  • Assume for simplicity that a car is the same width as the road, so that if the chicken is on the road when the car reaches her, she gets hit.

Problem Loading...

Note Loading...

Set Loading...