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!

Vector algebra - The velocity is given by

  1. Oct 5, 2014 #1
    1. The problem statement, all variables and given/known data
    The velocity of an object as a function of time is given by:

    Vx(t) = 12t2 - 5t + 40 m/s
    Vy(t) = 5t - 30 m/s

    What is position at 2 sec if the object has an initial position of x = 5 m and y = 8 m?
    What is the instantaneous acceleration at 10 s?

    2. Relevant equations


    3. The attempt at a solution
    I started by just plugging time (2 sec) into the equation to get the velocity and then writing that out in component form (V = Vxi + Vyj = 78i - 20j), but it asks for position/acceleration and I'm not entirely sure how to go about solving for that.
     
  2. jcsd
  3. Oct 5, 2014 #2

    Fredrik

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Take the derivative to get the acceleration. Integrate to get the position.
     
  4. Oct 5, 2014 #3

    Doc Al

    User Avatar

    Staff: Mentor

    How are position, velocity, and acceleration related? Hint: Calculus!
     
  5. Oct 5, 2014 #4
    Thank you! I think I've got it now.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted