let the iceberg be at at midnightAt midnight the Titanic is 100km due east of a big iceberg. The Titanic is sailing west at 12 km/hr and the iceberg is moving south at 10 km/hr. What time will the Titanic be closest to the iceberg and what will that distance be? Use the 2nd derivative test to prove the answer is the minimum.

titanic position as a function of time ...

iceberg position as a function of time

use the distance formula to get the distance between the two as a function of time, and minimize.