# At 1:00 pm a ship A leaves port P. It sails in the direction 030 at 12 km h1. At the

**Chapter 17, Problem 20**

(choose chapter or problem)

At 1:00 pm a ship A leaves port P. It sails in the direction 030 at 12 km h1. At the same time, ship B is 100 km due east of P, and is sailing at 8 km h1 towards P. a Show that the distance D(t) between the two ships is given by D(t) = p 304t2 2800t + 10 000 km, where t is the number of hours after 1:00 pm. b Find the minimum value of [D(t)]2 for all t > 0. c At what time, to the nearest minute, are the ships closest?

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