Scenario+Descriptions

Please use the descriptions below to determine what to include on the website your group designs. Please keep in mind that each time you see the word "**calculate**", this should include NOT ONLY a calculation with equations, but also a visual representation of motion (motion map) and graphical representation (position vs. time graph AND velocity vs. time graph). You should be sure to explain the relationship between these and the scenario.


 * 1) Stop Light Violations: Often people do not take enough time to stop when they see a yellow light. Given the following three pieces of information, calculate the necessary acceleration for your car to stop in time and not run a red light (calculate these for at least three different distances so that you can compare the accelerations):
 * 2) Current velocity
 * 3) Distance from the intersection
 * 4) Time of the yellow light
 * 5) We will be looking for demonstration of ability to calculate acceleration given velocity and distance
 * 6) Collisions due to heavy traffic: People think that if they speed up they can get through an intersection during a yellow light. However, from kinematic principles and given the following information, we can calculate how many cars can get through an intersection for every green light:
 * 7) Speed limit on the road
 * 8) Timing of green and yellow lights
 * 9) Average length of cars
 * 10) There are other factors which we may want to consider including the approximate speed of cars in heavy traffic given number of cars getting through the intersection at those times
 * 11) We will be looking for demonstration of ability to calculate distance given velocity and time, and ability to calculate velocity given distance and time.
 * 12) Reckless dumping of items from overpasses: For fun people will drop items from overpasses including trash, ice, and rocks. To understand more fully how dangerous it is to toss items from overpasses, you will calculate the velocity at which these items hit cars which are traveling on the road beneath.
 * 13) We will be looking for demonstration of ability to calculate velocity given displacement and acceleration and time taken to fall a prescribed distance.
 * 14) We will also be looking for demonstration of ability to appropriately apply models of constant velocity and constant acceleration and predict whether or not a dropped item will hit a car traveling at a particular velocity based on where it is when the item is dropped.
 * 15) Collisions
 * 16) Reckless speeding
 * 17) How long will it take a car which is speeding to hit someone who is traveling the speed limit if they are not paying attention?
 * 18) Calculate for different distances between the cars (at least three).
 * 19) Calculate for different speeds which are over the limit (at least two).
 * 20) Trains and cars collide often because of drivers not paying attention due to their cell phones or radios. Given different distances (at least three), calculate how long it takes for cars to collide head on and at what positions they will collide.
 * 21) If you assume that vehicles have a given stopping time (acceleration which car can stop – research online), would the collision be preventable for your three different distances if the drivers reacted a certain amount of time beforehand? What would that time have to be?
 * 22) Resource: http://www.rulesoftheroad.ie/rules-for-driving/speed-limits/speed-limits_stopping-distances-cars.html
 * 23) We will be looking for a demonstration of ability to calculate time given velocity and distances and ability to calculate time given velocity, acceleration, and distance.