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Math Help - softball problem

  1. #1
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    softball problem

    ok so we have a softball diamond that 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 10ft. from second base. at what rate is the players distance from home plate changing at that instant? ok im clueless on this one...would i use the area of the square and take the derivative? thanks in advance...
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  2. #2
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    Quote Originally Posted by slapmaxwell1 View Post
    ok so we have a softball diamond that 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 10ft. from second base. at what rate is the players distance from home plate changing at that instant? ok im clueless on this one...would i use the area of the square and take the derivative? thanks in advance...
    home plate to the runner to first base forms a right triangle ...

    let x = distance the runner is from first base

    y = distance the runner is from home plate

    x^2 + 60^2 = y^2<br />

    you were given \frac{dx}{dt} = 25 ft/s ... take the derivative of the above equation w/r to time and calculate \frac{dy}{dt} when x = 50 ft
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  3. #3
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    ok im looking at this problem and im not seeing how you are getting x = 50 ft
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  4. #4
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    never mind i see it, 10 ft from 2nd base, 60-10 ft sorry about that..
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