SOLUTION: A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward first base with a speed of 22 ft/s. 1) At what rate is his distance from secon

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Question 1160397: A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward first base with a speed of 22 ft/s.
1) At what rate is his distance from second base changing when he is halfway to first base?
2) At what rate is his distance from third base changing at the same moment?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


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The distance to 2nd base as a function of the remaining distance to 1st base is



Compute the first derivative and evaluate at which is the value of when the runner is half-way to first base.

Similarly:

The distance to 3rd base as a function of the remaining distance to 1st base is



Compute the first derivative and evaluate at which is the value of when the runner is half-way to first base.


John

My calculator said it, I believe it, that settles it