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A softball diamond is a square whose sides are 60 ft. long.  A player is running from first to second base at 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 ?  #19 on pg. 224 Nora Graubard
First, we draw and label a picture using the given information: 2 3 1 60 ft Homeplate player x y
Second, we figure out what we’re looking for, and how we can find it: ,[object Object]
Third, we find a formula: ,[object Object],[object Object],[object Object],[object Object],[object Object]
Third, we plug in values for the instant in question: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Fourth, we multiply out to solve the problem! ,[object Object]

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Nora

  • 1. A softball diamond is a square whose sides are 60 ft. long. A player is running from first to second base at 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 ? #19 on pg. 224 Nora Graubard
  • 2. First, we draw and label a picture using the given information: 2 3 1 60 ft Homeplate player x y
  • 3.
  • 4.
  • 5.
  • 6.