import math

distance = 1.8
acceleration = 0.303

startSpeed = 0.5

decelerationTime = startSpeed/acceleration

decelerationDistance = startSpeed*decelerationTime + 0.5*(-acceleration)*(decelerationTime**2)

print "deceleration time =", decelerationTime
print "deceleration distance =", decelerationDistance

activeDistance = distance-decelerationDistance

print "active distance =", activeDistance

currentDistance = 0.0
currentTime = 0.0
timeInterval = 5.0

while ((int)(currentDistance*10000) != ((int)(activeDistance*10000)/2)):
    if ((int)(currentDistance*10000) < ((int)(activeDistance*10000)/2)):
        currentTime = currentTime + timeInterval
    if ((int)(currentDistance*10000) > ((int)(activeDistance*10000)/2)):
        timeInterval = timeInterval/2.0
        currentTime = currentTime - timeInterval
    currentDistance = startSpeed*currentTime + 0.5*acceleration*(currentTime**2.0)

halfWayTime = currentTime

time = halfWayTime * 2.0 + decelerationTime

if (time > math.floor(time)):
    time = math.floor(time+1)

print "time =", time