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Instanteneous velocity

  1. Sep 18, 2009 #1
    1. The problem statement, all variables and given/known data

    The location of a particle (in m) is given by its x, y and z coordinates as function of the time (in s) as:

    x = -33+29t and y = -11-27t+7t2 and z = 95-9t-5t2

    Calculate the x-component of the instantaneous velocity at t = 5.00s.



    2. Relevant equations



    3. The attempt at a solution

    Ok so I thought you just plug 5 into t for the x = equation but I guess not. How do I figure this out?
     
  2. jcsd
  3. Sep 18, 2009 #2
    Plugging 5 for t in the X equation will give you the X-position of the particle at t=5s.

    This is kind of a trick question, tbh. Differentiate the x equation, this will give you instantaneous X-velocity as a function of time. You'll see that it is time independent.
     
  4. Sep 18, 2009 #3
    Cool thanks, the first time thats what I did but I must have entered it wrong because got it right this time.

    Thanks, and yeah I see that t doesen't matter.
     
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