1. Not finding help here? Sign up for a free 30min 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!

Applications of Integrals

  1. Oct 21, 2008 #1
    1. The problem statement, all variables and given/known data

    In coming to a stop the acceleration of a car is given as a= -4t. If it is traveling at 32m/s when the brakes are applied, how far does is travel while stopping?


    3. The attempt at a solution

    1.) Integrate acceleration to find velocity as a function of time

    v= -2t^2 + C1

    at t=0 , v = 32m/s

    v = -2t^2 + 32


    2.) Integrate velocity to find displacement as a funtion of time

    s = (2/3)(t^3) + 32t + C2.


    This is where I get stuck.

    Is it correct to assume that at t=0 , s will be zero and therefore C2 is zero?
     
  2. jcsd
  3. Oct 22, 2008 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    It's your coordinate system so it's your choice! The problem asks for the distance the car travels- that is the difference between s when the car stops and s when the car is going 32 m/s. Yes you can take "s= 0" to be the point at which the car is going 32 m/s. In fact, if you take s to be any number you like, when you do the subtraction, that number will cancel.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Applications of Integrals
Loading...