FLEXIBILITY ASSESSMENT ON RELATED RATES Instructions: Read and understand each of the situations below, then answer the questions that followed. Show your complete solution. A. A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft /min. How fast is the diameter of the balloon increasing when the radius is 1 ft? B. A 17 ft ladder is leaning against a wall. If the bottom of the ladder is pulled along the ground away from the wall at a constant rate of 5 ft/s, how fast will the top of the ladder be moving down the wall when it is 8 ft above the ground? C. A softball diamond is a square whose sides are 60 ft long. Suppose that a player running from first to second base has a speed of 25 ft/s at the instant when she is 10 ft from second base. At what rate is the player's distance from home plate changing at that instant? D. A boat is pulled into a dock by means of a rope attached to a pulley on the dock (see the Pulley accompanying figure). The rope is attached to the Boat bow of the boat at a point 10 ft below the pulley. If the rope is pulled through the pulley at a rate of 20 ft/min, at what rate will the boat be approaching the dock Dock when 125 ft of rope is out