Results 1 to 2 of 2

Math Help - particle motion and parametics

  1. #1
    Member
    Joined
    Jan 2009
    Posts
    91

    particle motion and parametics

    a particle moving in a plane has position at time t given by
    x(t) = (2 cos t, sin (2t)) , 0<=t<=Pi

    (a) find the position and velocity of the particle at times
    t=0, t=(pi/2) and t=pi

    (b) find the vector equation of the tangent line to the path of the particle at
    t0 = (pi/4)

    (c) make a sketch of the path of the particle for 0<=t<=Pi, indicating the relevant positions and velocities from parts (a) and (b) above
    (hint: draw the component curves)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by razorfever View Post
    a particle moving in a plane has position at time t given by
    x(t) = (2 cos t, sin (2t)) , 0<=t<=Pi

    (a) find the position and velocity of the particle at times
    t=0, t=(pi/2) and t=pi
    Hint: velocity is given by v(t) = x'(t)

    (b) find the vector equation of the tangent line to the path of the particle at
    t0 = (pi/4)
    this is given by L = x \left( \frac {\pi}4 \right) + t \cdot v \left( \frac {\pi}4 \right)

    note, write x(t) as a point and v(t) as a vector

    (c) make a sketch of the path of the particle for 0<=t<=Pi, indicating the relevant positions and velocities from parts (a) and (b) above
    (hint: draw the component curves)
    do this by plotting some points. use parts (a) and (b) to help
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. particle motion
    Posted in the Calculus Forum
    Replies: 15
    Last Post: August 5th 2010, 03:11 PM
  2. Particle Motion
    Posted in the Calculus Forum
    Replies: 4
    Last Post: December 30th 2008, 02:28 AM
  3. Particle motion
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 19th 2008, 12:36 AM
  4. Particle motion
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 6th 2008, 06:13 AM
  5. motion of a particle
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 15th 2007, 11:06 AM

Search Tags


/mathhelpforum @mathhelpforum