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!

Physics question:Particle leaves the origin

  1. Feb 1, 2010 #1
    1. The problem statement, all variables and given/known data

    A particle leaves the origin with initial velocity v0 = 11i+ 14 j m/s. It undergoes a constant acceleration given by a = –1.2 i + 0.26 j m/s2


    (a) When [i.e., for t greater than zero] does the particle cross the y axis?
    t = s
    (b) What is its y coordinate at that time?
    y = m



    (c) How fast is it moving, and in what direction, at that time?
    v = m/s


    θv = ° from the +x axis


    2. Relevant equations
    Integrals Calculus I believe



    3. The attempt at a solution


    v(t) = ∫ a dt + C = -1.2 t i + 0.26 t j + 11 i + 14 j
    x(t) = ∫ vx dt + C1 = -0.6 t^2 + 11 t
    y(t) = ∫ vy dt + C2 = 0.13 t^2 + 14 t

    a) t=18s
    b) y= 300m
    c)= 22m/s
    d) Can't figure out.... What direction is it moving at that time? ____ degrees
     
  2. jcsd
  3. Feb 1, 2010 #2
    for d) , you have the x,y components of the velocity vector, and you know that tan(teta) = y/x
    Just imagine it as a triangle.

    Hope this helps
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook