1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Finding distance in a race based on speed

  1. Sep 6, 2011 #1
    1. The problem statement, all variables and given/known data
    You nose out another runner to win the 100.000 m dash. If your total time for the race was 11.800 s and you aced out the other runner by 0.001 s, by how many meters did you win?

    2. Relevant equations
    a = v-v0 / t

    3. The attempt at a solution
    So i found the acceleration of both the runners and took the difference between their accelerations. Now what do i do to find the distance the runner won by?
    100 m / 11.801 s = 8.474 m/s
    100 m /11.800 s = 8.475 m/s
    8.475 m/s - 8.474 m/s = 0.001 m/s
  2. jcsd
  3. Sep 7, 2011 #2


    User Avatar
    Science Advisor
    Homework Helper

    hi bling-bling! :smile:
    (i think you mean "speed", not "acceleration" :wink:)

    0.001 m/s is the relative speed, sooo … ? :smile:

    (btw, won't you need more than 4 https://www.physicsforums.com/library.php?do=view_item&itemid=523" in your intermediate steps if you want reasonable accuracy after subtracting? :wink:)
    Last edited by a moderator: Apr 26, 2017
  4. Sep 7, 2011 #3
    so the 0.001 is not the distance that the runner won by? if not, how do i figure that out?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook