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Homework Help: One Dimensional Kinematics Problem

  1. Sep 18, 2010 #1
    1. The problem statement, all variables and given/known data
    How far has the motorcycle traveled, when it catches the ferarri?
    A ferrari speeding at a constant 35m/s passes a police officer at rest. 2.0 s later, the officer accelerates in pursuit at 6.5 m/s^2. How far has the motorcycle traveled, when it catches the ferarri?
    I know the d=vt for the ferarri and d=1/2at^2 for the police, but what is throwing me off is the 2.0 seconds later part. Help please!


    2. Relevant equations
    d=vt for the ferarri
    d=1/2at2 for the police

    3. The attempt at a solution
    I set vt=1/2at2
    solved for t and got t=2v/a=12.769 I thought I could just add the two seconds to it, but that is wrong..
     
  2. jcsd
  3. Sep 18, 2010 #2

    n92

    User Avatar

    You're solving for the distance the motorcycle travelled, I think in this case time is only needed to find the car's velocity. You should have all the information needed to find displacement.

    Vf^2 = Vi^2 + 2ad

    solve for displacement.
     
  4. Sep 19, 2010 #3
    But i'm not given a final velocity. The answer turns out to be 507m I just do not know how.. I know that I have to set two equations equal to each other though
     
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