The solution to the problem is as follows:
42 m/s 1000m/km = .042 km/s
a = (vf - vi)/t
D = vit+1/2at^2 (vit can be cancelled)
5.6km = 1/2 ((vf-vi)/t) t^2
5.6km = 1/2((.042km/s-0km/s)/t)t^2
5.6km = 1/2(.042km/s/t)t^2
5.6km = (.021km/s)/t t^2
5.6km = .021km/s t
t = 266.666667s
checking work:
a = (vf-vi)/t
a = (.042km/h-0km/h)/266.6667s
a = .001575km/s^2
D = vit + 1/2at^2
56km = 1/2(.001575 km/s^2)(266.6667s)^2
56km = .0007875 km/s^2 71111.12889s^2
56km = 56km
