P.1.5 Worked Example Pedestrian and Bike at Intersection
You're standing at a traffic intersection. And you start to accelerate when the light turns green. Suppose that your acceleration as a function of time is a constant for some time interval t less than t one. And after that, it's zero for a time after t one less than t less than some time t two. At the exact same instant the light turns green, a bicyclist is coming through the intersection. And the bicyclist has some initial speed and is braking with an acceleration of minus b two for the entire time interval t two. And at time t two, the bicyclist comes to rest exactly where you are located. And we also know some initial conditions. So our initial conditions in this problem are that you're accelerating b one at a rate two meters per second squared. And you do this for time t one equals one second. And the bicyclist comes into the intersection. We'll call that b two naught. That's the initial speed of the bicyclist at three meters per second. And the qu...