Question

Maria is going for a walk. She begins by walking north for 1 km. She then turns and walks east for 22 km, then turns and walk south for 3 km. She walks at a constant 4 km/hr. Express the distance from Maria to her starting point as a multipart function of t, the time she has been walking.

Answer 1

During 0 <t < 0.25 h, y = 4t and x = 0
R = Distance from starting point = y

During 0.25 < t < 5.75 h, y = 4 and x = 4(t-0.25)
R = sqrt(x^2 + y^2)

You do the last leg. That should give you the idea