a = v / t = (100 / (3.6 m/s)) / (13 s) = 250/117 m/s^2
t = v / a = (300 / (3.6 m/s)) / (250/117 m/s^2) = 39 s
s1 = 1/2 * a * t^2 = 1/2 * (250/117 m/s^2) * (39 s)^2 = 1625 m
s2 = v * t = (300 / (3.6 m/s)) * 10 s = 2500/3 m
t = v / a = (300 / (3.6 m/s)) / (8 m/s^2) = 125/12 s
s3 = 1/2 * a * t^2 = 1/2 * (8 m/s^2) * (125/12 s)^2 = 15625/36 m
s = s1 + s2 + s3 = 1625 m + 2500/3 m + 15625/36 m = 2893 m
Die Strecke sollte mind. 2893 m lang sein.