Nichols_Bruce_Pham_Logan

Cool Website!** Simulation - http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=712.0
 * __Fun Facts/Links/Tips/Simulations:__

http://www.shortyellowlights.com/standards/
 * Yellow Light Standards**:

http://www.alcoholalert.com/drunk-driving-statistics.html http://www.sadd.org/stats.html http://www.centurycouncil.org/learn-the-facts/drunk-driving-stats
 * Drunk Driving Statistics:**

Our assignment on hand was to cause awareness for drivers that were possibly unknown of what can occur while driving. We've provided various situations along with calculations for them as well! With the calculations and answers, also came an analysis from us. Here's our four various situations.
 * __Introduction:__**

Are some useful scenarios that explain how concepts of acceleration, velocity, and position, all affect the outcome of different situations.
 * __Below:__**


 * __Scenarios -__**


 * __Scenario#1: Cody Nichols__**

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): 1. Current velocity 2. Distance from the intersection 3. Time of the yellow light 4. We will be looking for demonstration of ability to calculate acceleration given velocity and distance.

__**Situations**__: A mans car is parked at the corner, far away from the traffic light. He moves out of his parking spot, and accelerates at 2.2352 meters/second, up to a velocity of 8.9408 meters/second (in a total of 4 seconds). 8 seconds have passed and he has traveled a distance of 71.5254 meters, with the light just turning yellow. The light will turn red in 2 more seconds, so the driver continues his constant speed of 8.9408 meters/second and makes it across the intersection with the light still being yellow.
 * 1.) 59th Arch - 59th Race. Block Distance 80.4672 meters (.1 miles), 20 mph 2.5 seconds for yellow light.**


 * Analysis**:

This is because with 2 seconds left, and having already traveled 71.5254 meters, the rational choice would be to keep a constant speed. In 2 seconds he would travel 17.8816 meters. So in that 2 seconds before the light turned red, he would have gone a total distance of 89.407 meters.This proves that he definitely passed the 80.4672 intersection with milli-seconds left to spare.

A elderly mans car is double parked at the corner of 63rd and Chestnut. Once he is finished his task, he gets in his car and accelerates 3.57632 meters/second, for 4 seconds to 17.8816 meters/second as a constant velocity (40mph). After 36 seconds, of going at a constant velocity of 17.8816 meters/second he travels the entire distance, not even crossing an intersection with a yellow light.
 * 2.) 63rd and Chestnut - 59th Chestnut. Block Distance 643.7376 meters (.4 miles), 40mph (17.8816 meters/second), 3 seconds for yellow light. (Continuous Green Light System on Chestnut Street)**

He made the decision to go through Chestnut Street, because he hit all green lights without any of them changing to a yellow which lasted for 3 seconds.
 * Analysis**:

Ms. Echols was coming off the Spring Garden off Ramp, kept a continuous speed of 22.352 meters/second for 9 seconds and then slowing down (negative acceleration) at a rate of 3.7253 meters/second. After 9 seconds of accelerating at 22.352 meters/second Ms. Echols approaches a traffic light, after already going a distance of 201.168 meters. She started to press on the brake, slowing down, having a negative acceleration, once she saw the yellow light. After 5.5 seconds she was close to 2 meters away from the intersection, and avoided the cameras that would have taken her license plate picture if she'd ran the red light.
 * 3.) Spring Garden Off Ramp - 50mph (22.352 meters/seconds) Decelerating to a traffic light. 260 meters (.16 miles), 5.5 seconds for yellow light.**

In this case, the driver is coming off of an off ramp to an oncoming light. The driver traveled (a velocity of...)for 22.352 meters/second for 9 seconds going a distance of 201.168 meters. At this point the driver sees a yellow light, and slows their acceleration by (3.7253 meters/second). (Results Shown Below). The driver slowed down enough to reach the intersection, and come to a stop, instead of running the red light. Results of Decline of Speed:
 * Analysis**:

1 Second : (22.352-3.7253) = 18.6267meters/second 2 Seconds : -3.7253 = 14.9014 meters/second 3 Seconds : -3.7253 = 11.1761 meters/second 4 Seconds : -3.7253 = 7.4508 meters/second 5 Seconds : -3.7253 = 3.7255 meters/second 5.5 Seconds : -1.86265 = 1.86285 meters/second Came to a Stop!

__**Calculations/Conversions for Velocity and Acceleration:**__

__**Scenario#2: Lena Bruce**__

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: Two BMW M3's are driving on a highway at 97 km/h(60mph=27m/s). The front car sees a duck and slams on his brakes. What is the minimum distance the second BMW m3 should have been behind the first to avoid the rear end collision.
 * 1) Speed limit on the road
 * 2) Timing of green and yellow lights
 * 3) Average length of cars
 * 4) 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
 * 5) We will be looking for demonstration of ability to calculate distance given velocity and time, and ability to calculate velocity given distance and time.

__**Calculations/Conversions:**__

__**Scenario#3: Ricky**__ **__Pham__**

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.
 * 1) We will be looking for demonstration of ability to calculate velocity given displacement and acceleration and time taken to fall a prescribed distance.
 * 2) 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.

Reminder: If the car that has the trash being dumped outta is going fast enough to either damage the car behind it or if it will just be another pile of trash

DriverA is going at the speed of 65mph (29.05m/s) on a highway, he drinks his soda and throws the cup out the window and it's accelerating from the window at 9.8m/s^2 to the ground. He is driving on a overpass that is 11ft. high and DriverB is going at 80mph(35.76m/s) and he hits the breaks when DriverA's cup hits his windshield. [|Overpass Citation]

__**Calculations/Conversions:**__

3.35m=1/2(9.8)^2 3.35=4.9 <--Divide both by 4.9 t=0.82<-ROUNDED2

3.35m=1/2at^2+Vot 3.35m=1/2(9.8)(0.82)^2+0*0.82 3.35m=1/2(9.8)(0.82)^2 .82^2*9.8*1/2=**3.29** <- ROUNDED

Collisions
 * __Scenario#4: Dyamond Logan__**
 * 1) Reckless speeding
 * 2) 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?
 * 3) Calculate for different distances between the cars (at least three).
 * 4) Calculate for different speeds which are over the limit (at least two).
 * 5) 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.
 * 6) 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?
 * 7) Resource: []
 * 8) 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.

A driver is going the speed limit of 35 mph then he sees a yield sign however, there is a car going 60 mph the opposite way who is not paying attention to the road because he was texting and did not slow down at the yield sign as a result the cars collided. Meanwhile, a pedestrian is walking across the 22nd and Arch intersection going 1.84 mph on a yellow light which lasts 3.5 seconds. Meanwhile a reckless driver of a new 2010 Porsche who was going 45 mph in a 30 mph zone, struck the pedestrian who had 3.5 seconds to get across the street. He, the driver, did not put on his brakes quick enough, to allow any escape from the blow.

Pedestrians Speed: 1.84 mph (.8320m/s) Cars Speed Limit - 30 mph Cars Velocity - 45 mph Distance From - 22nd and Market to 22nd and Arch. .1 miles.
 * __Calculations/Conversions:__**

45*1069.344=72420.48 72420.48/3600=20.1168 He was going **20.11(velocity)** meters per second.

20.1168/5=**4.0233** meters per second(acceleration)

160.93/20.11=8.002 seconds

It will take the car 5 seconds to accelerate to 45 mph. 45/5=9m/s/s= Cars Acceleration.

The acceleration is 9 miles per hour. The acceleration for the car is 1.86 miles per hour since the pedestrian is walking at a constant velocity each time. From 22nd and Market to 22nd and Arch it takes 160.93 meters.

0.1miles*1609.344(the number of meters that equal one mile)= 160.93meters

Meters per second 0.8320 Pedestrian is starting at 38 and the car is starting at 0.

At 32 meters they both will collide.

The car is going on a positive way and the pedestrian is going negative The car starts at 0, and the pedestrian starts 50 meters from the car

Do NOT go over the speed limit. Pedestrians should not attempt to cross the street on a yellow light, but rather cross on a green light. when you are signal to go you should go and not go after-wards

Conclusion; It is necessary for the pedestrian to walk during the indicated green light instead of the cautious yellow. The simple fact being, they have the right to get across 3.5 seconds in a 30 mph zone. For instants, if the driver of a car was going over the speed limit, and was talking on the phone when he believe that he had the right to the light, he may not pay as much attention to the pedestrian, as a result of him speeding with the distraction of the phone.

__**Conclusion:**__ As we finished our project, we looked back and created an informative Wikipedia page. It's giving answers to possible solutions that back up the analysis with physics. If a unaware driver is reading our wiki, they'll be more aware of what's ahead. It provides informative calculations that relates to the scenario provided.