Finding Time from Accel and Distance

  1. Not school related, but I guess it could be a homework problem.
    I am redoing my racing script on my car game and need some help. I have been looking around in many places and can't seem to find how to do this problem.
    1. The problem statement, all variables and given/known data
    I need to find the time it takes to travel 0.05 miles at a given acceleration starting at a given speed. I also need to find out the final speed.

    So if a car starts from a stop (0 mph) and can travel 0-60mph in 7 seconds. How long will it take to travel 0.05 miles and what will its final speed be.

    2. Relevant equations
    time = change/acceleration
    d=st

    3. The attempt at a solution
    So far I have its average acceleration at 8.57 mph/s if I can find the time I will be able to find its final speed. If its 1 second it will be 8.75 mph, 2 seconds will be 35mph. (Not to sure on that) But I did (2 seconds^2) * 8.75
     
  2. jcsd
  3. Is it going to be a constant acceleration? If it is you can use

    [tex](V_f)^2=(V_i)^2+2a(d_f)[/tex]

    Where [tex]V_f =[/tex] Final Velocity, [tex]V_i =[/tex] Initial Velocity, [tex]d_f =[/tex] the final displacement.

    From there you can find the time it takes in a multitude of ways.
     
    Last edited: Mar 27, 2007
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