# A (square) baseball diamond has sides that are 90 feet long . A player running from second base to third base at a speed of 27 feet per second is 25 feet from third base. At what rate is the player's distance from home plate changing?

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A (square) baseball diamond has sides that are 90 feet long . A player running from second base to third base at a speed of 27 feet per second is 25 feet from third base. At what rate is the player's distance from home plate changing?

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Step 1

Let X(t) be the distance from player’s to home plate at time t (in seconds).

Given that the length of the side of the diamond is 90 feet.

The players speed is 27 feet per second. Hence the distance covered by player in t seconds is 27t.

Step 2

Then the distance between players and home plate at any time can be calculate by

Step 3

The rate of change o...

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### Differential Equations 