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!

Velocity and Acceleration homework

  1. Jan 17, 2007 #1

    srh

    User Avatar

    1. The problem statement, all variables and given/known data
    The acceleration of point A is defined by the relation a=-1.8sin(kt), where a and t are expressed in m/s^2 and seconds, respectively, and k=3 rad/s. Knowing that x=0 and v=0.6m/s when t=0, determine the velocity of point A when t=0.5s.


    2. Relevant equations
    a=dv/dt
    a dt = dv
    a=-1.8sin(3t)

    3. The attempt at a solution
    I began by using the equation a dt=dv. I substituted -1.8sin(3t) in for a. After integrating both sides I got v-v0=0.6cos(3t). I plugged in 0.6 m/s for v0. For t=0.5 I got v=.6424 m/s. The answer in the back of th book was 42.4mm/s. If I left v0 as zero, I would get that answer. But I thought I needed to include that. Am I missing something?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jan 17, 2007 #2

    OlderDan

    User Avatar
    Science Advisor
    Homework Helper

    Think about the highlighted text. What function of the form v = f(t) is going to give you v0=0.6m/s?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?