(1) Solve the following related rates problems: (a) At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 4:00 pm? (b) A woman stands near the edge of a cliff and drops a stone over the edge. Exactly one second later she drops another stone. One second after that, how fast is the distance between the two stones changing? Assume that the position function of each stone is given by s(t) = -4.9tom where t is in seconds. (c) Two men stand 10 m apart on level ground near the edge of a cliff. One man drops a stone and one second later the other man drops a stone. One second after that, how fast is the distance between the two stones changing? Assume that the position function of each stone is given by s(t) = -4.9t'm where t is in seconds. (d) Two cars start moving from the same point. One travels south at 60 mph and the other travels west at 25 mph. At what rate is the distance between the cars increasing two hours later? (e) If the minute hand of a clock has length r (in centimeters), find the rate at which it sweeps out area as a function of r