At noon, ship A was 16 nautical miles due north of ship B. Ship A was sailing south at 16 knots (nautical miles per hour; a nautical mile is 2000 yd) and continued to do soall day. Ship B was sailing east at 11 knots and continued to do so all day. Complete parts (a) through (e) below.C...a. Start counting time with t=0 at noon and express the distances between the ships as a function of t.s(t) =b. How rapidly was the distance between the ships changing at noon? One hour later?At noon the distance between the ships was changing at a rate ofOne hour later, the distance between the ships was changing at a rate ofc. The visibility that day was 5 nautical miles. Did the ships ever sight each other?NoO Yesdsd. Graphs and together as functions of t for - 1 st≤3. Compare the graphs and reconcile what you see with your answers in parts (b) and (c). Select the correctgranh helow Fach graph is shown with a window of I-1 31 bv 10 501 dsd. Graph s and together as functions of t for 1 st≤3. Compare the graphs and reconcile what you see with your answers in parts (b) and (c). Select the correctdtgraph below. Each graph is shown with a window of [-1,3] by [0,50].O A.xQ✔OB.O C.Q11.4O D.KAQQ✓dsdsdte. The graph of looks as if it might have a horizontal asymptote in the first quadrant. This in turn suggests that approaches a limiting value as t→∞o. What is thisdtvalue? What is its relations to the ships' individual speeds? Select the correct answer below and fill in the answer box to complete your choice.(Type an exact answer, using radicals as needed.)OA. The limit is . This limit is the square root of the differences of the squares of the individual speeds.OB The limit is This limit is the square root of the sums of the squares of the individual speeds

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