The highway proceeds east for 1.7 miles (2.7 km) through flat rural farmlands then crosses Little Mule Creek.
K-2 then quickly curves back east at Bare Road and continues for another .45 miles (0.72 km) then enters Kiowa as Main Street.
[3] K-2 continues northeast, parallel to the railroad track, for roughly .9 miles (1.4 km) then crosses Medicine Lodge River.
The highway continues through rural farmlands for another 1.6 miles (2.6 km) then crosses Lone Tree Canyon.
[4] The highway continues to parallel the railroad track for another three miles (4.8 km) then crosses Salty Creek.
[7] The highway continues through flat rural farmlands for about 4.5 miles (7.2 km) then intersects US-160, which it begins to overlap.
The highway continues past the Harper Municipal Airport then turns east onto 14th Street, which is the southern terminus of K-14.
[6] K-2 continues northeast through farmlands for 2.7 miles (4.3 km) at junction of SE 150th Avenue, which travels north to Norwich.
[10] The Kansas Department of Transportation (KDOT) tracks the traffic levels on its highways, and in 2019, they determined that on average the traffic varied from 500 vehicles per day slightly northeast of Hazelton to 3960 vehicles per day slightly north of Anthony.
Then in a January 1, 1950 resolution, the turn was eliminated and it continued northeastward to end at K-42 east of Norwich.
[21][22] In mid May 1967, the SHC approved a bid of $88,694 (equivalent to $618,632 in 2023 dollars)[23] to rebuild the junction with K-42 east of Norwich.