I have couple of questions on optimization, i don't want the answer, i just want to know what i have to do to approach this question. Keep in mind that I am in grade 12 calculus, i.e. PLEASE don't give me some crazy university answer with equations i've never seen before. Anyways, here are the problems:(adsbygoogle = window.adsbygoogle || []).push({});

1)At 11AM, a 747 jet is travelling east at 800km/h. At the same instant, a DC-8 is 45km east and 90km north of the 747. It is at the same altitude travelling south at 600km/h. What is the closest distance of approach of the planes, and at what time does it occur?

(answer is 45km; at 11:05AM)

2)A sailor in a boat 8km off a straight coastline wants to reach a point on shore 10km from the point directly opposite her present position in the shortest possible time. Where should she land the boat and how long does it take her to reach her destination if she can row ar 4km/h and run at 6km/h?

(answer is 7.2 km down the shore;3.15h)

Thanx a bunch!!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Optimization Problems.

**Physics Forums | Science Articles, Homework Help, Discussion**