An automobile travels on a straight road 35 km at 30 km/h. It then continues in the same direction for another 35 km at 60 km/hr. What is the average velocity of the car during the full 70 km trip? PLZ SHOW WORK.

Suppose that f : rn → rm and that a ∈ k, where k is a connected subset of rn . suppose further that for each x ∈ k there exists a δx > 0 such that f(x) = f(y) for all y ∈ bδx (x). prove that f is constant on k; that is, f(x) = f(a) for all x ∈ k