To fight or not to fight (with the police....)

You know how I have been saying that math can be our friend, our tool and our weapon? Well, here is an interesting math role as a police persecution tool.

We spent our spring school vacation in Washington DC. Enjoying the spring blossom, museums and monuments. On the way back we got “flashed” by a traffic camera at what seemed to be a rather slow speed on a very wide road. Two weeks later we received an interesting traffic ticket by mail. It claimed that we were driving at a speed of 46mph in a 35mph zone. Were we really? How does the camera knows? Prove it! Carefully reading this high tech traffic ticket, I realized how police are using some cool technology blended with math to create a convincing case... against us.




Speeding was detected by police radar that instructed a police camera to take two photographs of the speeding TheMathMom vehicle. The snapshots were taken with a time interval of 0.2 seconds, as the little stamp on the bottom shows. How do these pictures prove that we drove at 46 mph? Let's see...

If we drove at a speed of 46 mph, let's calculate how far we would move in these 0.2 seconds captured on the pictures.
speed = distance / time

from this:
distance = speed x time
distance = 46 mph x 0.2 sec

converting seconds into hours:
distance = 46 mph x 0.000055556 hours

multiplying, we get:
distance = 0.002555576 miles.

A very tiny number. Let's convert it to feet. I Googled that there are 5,280 feet in a mile. So, 0.002555576 miles would be 13.5 feet.

Ready for the final verdict? Did our car really move 13.5 feet in-between these two pictures?

Our traffic ticket explained that white marks on the road are painted with 5 foot intervals. I marked our car's back wheel positions on both snapshots with the red lines, observing that our car moved somewhere between 12 and 14 feet in-between these two pictures. 13.5 feet does, unfortunately, fit here very well, proving that we are guilty as charged. Oooof, I sometimes hate math!


Try it at Home:
Check out the new Try It at Home page from The Math Mom with a collection of tips and tricks to try at home.

43 comments:

  1. actually 35mph would be 10.2667 ft. Even if you were only doing 40.9 mph that would be 12 ft. The speeds are so low, its be hard to see with the road stripes how far you actually traveled (you would need an overhead shot to prove definitively) and if you sent in your calcs, they'd probably drop the charges.

    ReplyDelete
  2. ibrant post. Something which is explained well. A healthy post is always one that creates opinions and discussions jual jaket kulit pria murah | jaket jeans murah | celana chino | tas branded murah berkualitas

    ReplyDelete
  3. GATE score is considered in various Government undertaking and private companies to recruit technical staff and engineers. Technical Graduates can fill application form for GATE examination and those who are in final year of their technical courses. GATE is Computer Based Test (CBT) and is being conducted on different days for different branches.

    gate exam, gate 2016 GATE 2016 notification, GATE notification, gate 2016 syllabus, gate syllabus, gate exam pattern, gate question papers, gate previous year papers, crack gate, gate tips and trick, gate application form, gate 2016 application form

    ReplyDelete
  4. Thank you, I've been seeking for info about this subject matter for ages and yours is the best I have
    discovered so far.
    Angel investment in India

    ReplyDelete
  5. This is a very good post which I really enjoy reading. It is not every day that I have the possibility to see something like this.
    www.riabharti.com

    ReplyDelete
  6. I really love the quality writing as offered on this post, cheers to the writer. Buy high pr backlinks

    ReplyDelete
  7. This is just amazing. You also discover your true talents. Goatrips

    ReplyDelete
  8. You can watch free Mobdro movies, latest TV episodes, NEWS Mobdro app and also you can enjoy
    Download Mobdro APK free.

    ReplyDelete

  9. http://mobdro-apk.com: Download free Mobdro APK file on your android and watch streaming of worldwide.
    Mobdro APK
    Mobdro
    Mobdro App

    ReplyDelete
  10. very good article and interesting ways to solve the problems

    ReplyDelete
  11. unfortunately, fit here very well, proving that we are guilty as charged. of, I sometimes hate math!

    mobdroapp.net/

    ReplyDelete
  12. I realized how police are using some cool technology blended with math to create a convincing case.

    moviebox.pro


    ReplyDelete
  13. cartoon-hd.org
    are you serious sewing manchine in library, i never heard something more insane than this

    ReplyDelete
  14. We are really grateful for your blog post. You will find a lot of approaches after visiting your post. Great work.investor for startup india

    ReplyDelete
  15. Decreasing help with slimming effect: A dream. Food and still lose weight? The best slimming aids and slimming recipes that act guarantees. Venus Factor Scam

    ReplyDelete
  16. Thanks for sharing this post.It is very extraordinary post.
    <a href="http://examhelpline.in>Examhelpline</a>

    ReplyDelete
  17. snapchat is very popular to use in your computer. Check this simple guide here to enjoy the emojis on the app. nice.

    ReplyDelete

Note: Only a member of this blog may post a comment.