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Find the minimum time required to go a given distance

  1. Jan 26, 2010 #1
    1. The problem statement, all variables and given/known data

    A sportscar, Fiasco I, can accelerate uniformly to 76 m/s in 30 s. Its maximum braking rate cannot exceed 0.60g. What is the minimum time required to go 1250 m, assuming the car begins and ends at rest?

    2. Relevant equations

    a = v/t
    v = d/t = [tex]\Delta[/tex]r/t
    vavg = (vi + vf)/2 [when a is constant]

    3. The attempt at a solution

    accelrate1 = (76m/s) / 30s = 2.53 m/s^2
    accelrate2 = - (0.60)g = - (0.6)(9.8N/kg) = -5.88N/kg = -5.88 m/s^2
    ri = <0,0,0>m
    rf = <1250,0,0>m
    vi = <0,0,0>m/s
    vf = <0,0,0>m/s

    I tried breaking it up into two parts, the first being the acceleration and the second being the deceleration, but I cannot seem to get the correct answer.
  2. jcsd
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