الأحد، 24 أكتوبر 2010


Task 1:
To avoid skidding while driving a car, you need to know what a safe stopping distance is. Assume you are traveling on a dry road and have an average reaction time.
The formula f(x) = 0.044x2 + 1.1x gives you a safe stopping distance in feet, where x is your speed in miles per hour.

1. Make a table of values for speeds of 10, 20 30, 40, 50 and 60 mi/h.

X
F(x) mi/h
10
15.4
20
39.6
30
72.6
40
114.4
50
165
60
224.4








2. Use Excel to graph the function:



task 2


Task 2:



Suppose a car left a skid mark of d feet long. The above formulas will estimate the speed s in miles per hour at which the car was traveling when the brakes were applied.
1. Complete the Table:

Dry road

Wet road


60 feet

40.2m/h

28.46m/h
120 feet
56.9m/h
40.25m/h









2. Why do you think the estimates of speed do not double when the skid marks double in length?

Because the cars have different speed in wet roads than dry roads so, the speed will not double when the skid makes double in length .

2. Based on these results, what conclusions can you make about a safe following distance?

The car will move faster on the dry road than the wet road .



We & Math: Graphing Quadratic Equations

the equations are very clear and the blog is good and i hope you get high marks !!

الأربعاء، 20 أكتوبر 2010

f(x) = 0.044x² +1.1x


summary (A)


1_first I solve the equation by getting the a, b and c …
2_second I get the value of x by –b/2a.
3_third I make a line for x.
4_fourth I make the table by x and y columns and put the values for all.
5_fifth I draw each value on the graph.

summary (B)


It speaks about the reaction time, which is decomposed to:

1_Mental processing time :
Which is the time taken for a person to receive a signal to do some thing and this it self-decomposited to 4 stages?
Ex:
When a driver sees some one walking and has to stop.
*Sensation.
*Recognition.
*Situation awareness.
*Response selection and programming.




2_Movement time:
Is the time taken to do the response?
Ex: The time taken to put the foot on the brake.

3_Device response time :
Which will take the time for the car to stop and this will not happen immediately.
*Total stopping distance constant of 3 components.

a) Reaction distance.
We will calculate it on the following the reaction time is 1.5 second, so the car will move 1.5x80.67 or 120.9 feet before stopping.

b) Brake engagement.
Which is the longest reaction, it is variable.

c) Physical force distance.
Is determining the brake engage by physical force, which is 134.4 feet.

So total stopping distance:
120.9ft+24.2 ft+134.4ft=279.5ft

4_Expectation:
The time for reaction is affected by if the driver is alerted to need the brake.
We divide alerted into three classes.
*Expected: take 0.1 second in this case the driver is aware.
*Unexpected: takes 1.25 which may happened for a driver before red signal .
*Surprise: the best estimate is 1.5 second happened in unusual circumstance.
*Urgency: brake happens faster in urgency.
*Cognitive load: will take from 0.3 à1 second.
*Stimulus _Response Compatibility:
Is calculating the thing in a short time.
*Psychological Refractory Period:
New responses are made slower than first responses.

5_Age:
Old people have more experience and tendency from others, and the researches say that older people respond slower than younger.
Gender: female respond slower than males.

Nature of signals:
_First difficult situation is acceleration or decleration motion of car.
Difficult to judge a motion toward or away from you .
_Second it is not easy to judge a motion of an object if you are moving.
_Third it is much slower when people encounter a law probability or unexpected.

6_Visibility:
The reaction will be decreased in bad visibility.
in good light the reaction will be better and faster .

7_Response Complexity:
The moving for turning a wheel is faster than to step on the brake this returns to that complex muscular response takes longer time.


8_reaction time at night:
Low contrast and low conspicuity at night can give faster reaction.



9_Case study:
A 73 years old male driver was driving his car near an intersection and he saw a car coming from other side so he had to put his foot on the brake.

_What is his expected reaction time?
*To get the alert that an accident might happen will take 1.0 to 1.1 second.
*The time to move his foot is 0.2 second.
*His 73 age will increase expected reaction to range 1.1-1.3 second.


10_Complex reaction time :
Donders distinguish 3 type of reaction time:
A_B and C.

Final comments:
This takes about that each reaction time has its peculiarities and must be examined.

summary (C)


Calculating Your Braking Distance (C)

   Sometimes while your driving you’d have to hit the breaks as fast as possible to avoid any accidents.

The breaking distance: it’s the distance your car travels after the car brakes have been applied. If you are traveling at 70 miles per hour, it takes 315 feet to stop an average car once the breaks have been applied.
The stopping distance: It takes the distance before you hit + the time after you hit the breaks (Reaction Distance) + (Breaking distance).
The reaction distance: It takes time utile you realize that there is a problem and that you need to hit the breaks and before you do you already traveled a small distance.

summary (D)


Car Accident Statistics (D)

   Car Crash Stats: There were nearly 6,420,000 auto accidents in the United States in 2005. The financial cost of these crashes is more than 230 Billion dollars. 2.9 million people were injured and 42,636 people killed. About 115 people die every day in vehicle crashes in the United States -- one death every 13 minutes.

In 2003 there were 6,328,000 car accidents in the US. There were 2.9 million injuries and 42,643 people were killed in auto accidents.

In 2002, there were an estimated 6,316,000 car accidents in the USA. There were about 2.9 million injuries and 42,815 people were killed in auto accidents in 2002.

There were an estimated 6,356,000 car accidents in the US in 2000. There were about 3.2 million injuries and 41,821 people were killed in auto accidents in 2000 based on data collected by the Federal Highway Administration.





summary (E)


About the AAA Foundation for Traffic Safety
The first study in this volume was sponsored by the AAA Foundation for Traffic Safety. The AAA Foundation for Traffic Safety assumes no liability for its contents or use thereof.
A Message From The Sponsor
The study found that Washington area motorists felt more threatened by aggressive drivers than by drunk drivers; 40 percent of the respondents said that aggressive drivers "most endanger highway safety," while 33 percent identified drunk drivers as the primary risk.
Aggressive Driving
Introduction
. After the motorists antagonized each other for several miles on the Interstate, they both pulled over to an access road and got out of their vehicles.
Incidents of Aggressive Driving
Deaths and Injuries
"Aggressive driving" is defined for this study as an incident in which an angry or impatient motorist or passenger intentionally injures or kills another motorist, passenger, or pedestrian, or attempts to injure or kill another motorist, passenger, or pedestrian, in response to a traffic dispute, altercation, or grievance.
Reasons Violent Traffic Disputes Occur
Motorists involved in fender-bender collisions and silly traffic disputes are increasingly being shot, stabbed, beaten, and run over for inane reasons.
Weapons Used by Aggressive Drivers
No information was available for 1,087 of the cases reviewed.
Without question the most popular weapons used by aggressive drivers are firearms and motor vehicles. In 37 percent of the cases a firearm was used; in 35 percent the weapon was the vehicle itself.
The Role of Domestic Violence
From January 1, 1990 to September 1, 1996, at least 322 incidents of domestic violence were played out on roads and Interstates throughout the country.

summary (F)


Teen Drivers: Fact Sheet

Motor vehicle crashes are the leading cause of death for U.S. teens, accounting for more than one in three deaths in this age group.1 Fortunately, teen motor vehicle crashes are preventable, and proven strategies can improve the safety of young drivers on the road.
How big is the problem?

Young people ages 15-24 represent only 14% of the U.S. population. However, they account for 30% ($19 billion) of the total costs of motor vehicle injuries among males and 28% ($7 billion) of the total costs of motor vehicle injuries among females.3
Who is most at risk?

Among teen drivers, those at especially high risk for motor vehicle crashes are:

 
What factors put teen drivers at risk?

    * Teens are more likely than older drivers to underestimate dangerous situations or not be able to recognize hazardous situations.6
    * Teens are more likely than older drivers to speed and allow shorter headways (the distance from the front of one vehicle to the front of the next).
    * Among male drivers between 15 and 20 years of age who were involved in fatal crashes in 2005, 37% were speeding at the time of the crash and 26% had been drinking.8,9
    * Compared with other age groups, teens have the lowest rate of seat belt use. In 2005, 10% of high school students reported they rarely or never wear seat belts when riding with someone else.10