Algebra 2 A

Less than two percent of motor vehicle crash deaths are bicyclists. The most serious injuries among a majority of those killed are to the head, highlighting the importance of wearing a bicycle helmet. Eighty-nine percent of bicycle deaths are persons 16 and older, so helmet laws should include adults. Helmet use has been estimated to reduce head injury risk. For this prompt, you will investigate and answer what happens if you fall without a helmet.

a. When a person of average height sits on a bicycle, the person’s head is about 5.3ft above the ground. suppose such person falls from a bicycle at rest. Use the function d(t) = 16t2 to estimate the time it takes for the person’s head to hit the ground.

scumbag-cyclist-meme

b. The function v(t)=32t gives the speed v(t) in feet per second of an object that falls t seconds. Estimate the speed at which the head of the person in part (a) hits the ground.

c. A cyclist not wearing a helmet will generally have lasting brain damage if the cyclist’s head hits the ground at more than 18ft/s. Based on your answer to part (b), explain why wearing a helmet is a good idea.

29 thoughts on “Algebra 2 A

  1. A. It will take approximately 3 seconds for the person’s head to hit the ground.
    B. Approx. 11ft/s
    C. Using a helmet would decrease your chances of getting brain damage and/or killed by a motor vehicle accident because your helmet would absorb the damage and ultimately protect you.

  2. a. It will take approx. 3 seconds
    b. Approx. 11 feet per second
    c. Wearing a bicycle helmet prevents brain damage in the case that you are hit by an oncoming vehicle, hit an obstacle, etc.The helmet protects your skull and head; the helmet is made to absorb the shock caused when the person’s head hits the ground. While some brain damage may occur, it is nowhere near the amount that can occur if you are not wearing a helmet.

  3. A. It takes 3.01886792 seconds until the person’s head hits the ground.
    B. About 11 feet per second.
    C. Wearing a helmet reduces the chance of aging lasting brain damage from a fall and can prevent death and serious injury to the head.

  4. A. T=.57
    B. v= 18.4ft/s
    C. It is hitting the ground at a higher speed so they will definitely have brain damage if their scull hits the ground.

  5. A. It takes around 3 seconds for the person’s head to hit the ground.
    B. Approximately 11ft/s
    C. Wearing a helmet reduces the chance of brain damage and a concussion, as well as rises the chance of safety for the upper body.

  6. a) about 1.78 seconds
    b)17.9 feet per second
    c)it’s a good idea to wear a helmet because they protect your head from
    Injury or even death.

  7. a) approximately 3.02 seconds until the person’s head hits the ground
    b) about 11 feet per second
    c) Helmets reduce the likelihood of permanent head damage after falling from an extended distance to the floor.

  8. None of these answers make sense because if it takes approx. 3 seconds for 5.3 feet to fall, how can the speed be 11 ft/sec?

  9. a) t = 3.5 seconds until someone’s head hit the ground
    b) v= 12 feet per second till someone’s head hit the ground
    c) Wearing a helmet can reduce the risk of brain injury or even death.

  10. Reread it… still confused.
    a) 5.3t=16t^2 –> t= 5.3/16 = 0.33
    b) v= 32t –> v= 32 x .33 = approx. 10.56 ft./sec
    c) The helmet will protect the riders head from the impact of the fall. Without the helmet the person has a higher risk of injury or death then with one.

  11. A. 3.3 seconds
    B. 11 ft/s
    C. Wearing a helmert will reduce the chances of getting injured and you would have more protection on your skull .

  12. a.) it takes about 3 seconds until the person hits their head on the ground
    b.) about 11 feet per second
    c.) Wearing a helmet reduces the chance of severe accidents, specifically injuries to the head. A helmet is made to protect one of the most important parts of your body, your brain. Not wearing a helmet makes you 14 times more likely to be involved in a fatal accident.

  13. A. It would just about 3 seconds.
    B. 11 feet per second
    C.The helmet is used as a source of “armor” to protect you from serious head injuries. If your head(brain) is not working properly, the chances of being alive is very slim, let alone being hospitalized for life. So wearing a helmet is that source of protection that is urgently needed in order to survive serious accidents.

  14. a) It takes about 3 seconds for an average person to fall to the ground on a bike at a resting state.
    b)The person is going about 11 ft/s when he hits the ground
    c)Having a helmet while on a bike can lessen an injury to the brain in an accident.

  15. a) it will take about 2-3 seconds for their head to hit the ground.
    b)about 11 ft/s
    c)wearing a helmet is important because if someone hits their head at a fast speed and they aren’t still but moving, they will have serious brain damage.

  16. 1. it would take about 3 seconds for an average person to fall down and hit their head on the ground.
    2. About 11 ft/s.
    3. It is a good idea to wear a helmet because it reduces the harmful impact the accidents can do to the brain.

  17. A.It will take approximately 3 seconds for the person’s head to hit the ground.
    B. Approx. 11ft/s
    C. Using a helmet would decrease your chances of getting brain damage and/or killed by a motor vehicle accident because your helmet would absorb the damage and ultimately protect you.

  18. A. It will take approximately 3 seconds for the persons head to hit the ground
    B. Approximately 32ft/s
    C. Using a helmet reduces the chance of getting brain damage

  19. a) Takes just over 3 seconds for the person’s head to hit the ground.
    b) About 11 ft. per sec.
    c) Using a helmet is a good idea, since an accident on such a vehicle could cause severe brain damage and can be fatal. People who wear helmets reduce the chance of major injuries. Wearing a helmet, may look a bit funny to one, but may perhaps save there life. Learn more at http://www.sannerud.com/people/bike/index.html.

  20. A) it’s about 3 seconds for the persons head to hit the ground
    B) about 11ft/s
    C) wearing a helmet helps decrease of brain damage and can prevent death as how it takes all the damage on the helmet

  21. a. It should take about 3 seconds until the person’s head does receive contact with the ground.
    b. about 11-12ft/s
    c. Using a helmet would protect your skull from getting a serious injury which involves any sort of brain/skull damage. Also wearing a helmet just might save your life when in an actual situation where there is a accident that involves some sort of head to hard surface contact.The impact the surface will have on the helmet will keep you protected.

  22. A) about 3 seconds
    B) about 11 ft/s
    C) Wearing a helmet is a good idea because even if you are being a safe biker, the driver might be the one not being safe therefore still hurting you in the process.

  23. a) t=0.58 seconds
    b) 18.56 ft/sec
    c) wearing a helmet is extremely important, as it could protect you from getting a serious head injury, even going to the extent of saving your life.

  24. a) approx. 3 sec.
    b) 11 ft. per second
    c) wearing a helmet is a simple yet effective way to ensure safety when riding a bike. the almost instantaneous impact of your body against the ground could cause severe head injuries, therefore wearing a helmet could prevent such a scenario from occurring by providing protection for your skull.

  25. a. It would take about 3 seconds for a persons head to fall to the ground.
    b. In the .3 seconds it falls at the rate of 11ft/s. It would fall at 3.6ft (?).
    c. Wearing a helmet will protect your brain if in the position of falling off the bike, but it is less likely to fall off your bike (if they know how to ride it). It is more likely to get hit by a car than fall off the bike.

  26. a.) it takes about 3 seconds until the person hits their head on the ground
    b.) about 11 feet per second
    c.) Wearing a helmet reduces the chance of severe accidents, specifically injuries to the head. A helmet is made to protect one of the most important parts of your body, your brain. Not wearing a helmet makes you 14 times more likely to be involved in a fatal accident.

    However, there is a large likelihood that when a person falls, he or she will attempt in some way to protect themselves. Their attempt for protection will also reduce the chance of injury instead of a helmet.

  27. A. It would take 3.9375 Seconds for the average person to hit their head on the ground when falling on a bicycle.
    B. The average person’s head would hit the ground at 126 Feet Per Second.
    C. Helmets are important for people of all ages to wear. Wearing a helmet prevents injury. especially to the brain and saves lives. As found by the NHTSA, helments are 90 percent effective in preventing brain injury. Due to the fact that the majority of the deaths of people falling of a bicycle belong to people above the legal age required to wear a helmet, people of all ages should wear one.

  28. a. It will take about 3 seconds
    b. Approx. 11 feet per second
    c. wearing a bicycle helmet can prevent brain damage and if u are hit by an oncoming vehicle.The helmet protects your skull and the helmet is made to absorb the shock caused when the you hit your head. but there is still risk for brain damage.

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