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Homework Help: 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


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    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.
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