True or False For circular motion on a circle of radius r, linear speed equals angular speed divided by r.

A boat leaves a port traveling due east at 18 mi/hr. At the same​ time, another boat leaves the same port traveling northeast at 17 mi/hr. The angle θ of the line between the boats is measured relative to due north​ (see the figure to the​ right). What is the rate of change of this angle 30 min after the boats leave the​ port? 2 hr after the boats leave the​ port?

You will be graded on your written work as well as your answer. You and Austin start at the same place when a dinosaur attacks! At t = 0 hours, you run North at 3 miles/hour while Austin runs West at 9 miles/hour. At the bottom you will answer, "how fast is the distance between us changing at t = 0.5 hours?" In your written work: a) Draw a picture and clearly label the variables. b) What relationship should you use to help you? (some equation from geometry, using your picture and your variables.) Write the relationship using the variables from your picture. c) Use implicit differentiation to take the derivative of your relationship. You do not need to solve or simplify. d) How fast is the distance between us changing at t 0.5 hours? miles/hour

What term describes the section between points A and D?