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Math Help - A challenging mechanics & application of calculus question?

  1. #1
    Super Member fardeen_gen's Avatar
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    A challenging mechanics & application of calculus question?

    From point A located on a highway as shown in attached figure, one has to get by car as soon as possible(in minimum time) to point B located in the field at a distance l from the highway. It is known that the car moves in the field η slower than on the highway. At what distance from point D one must turn off the highway?
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  2. #2
    Super Member wingless's Avatar
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    It's an optimization problem, as far as I understand.

    Let T be a point between C and D. And let |CT| = x. Assume that the car leaves the way from T. Now write the total time as a function of x. Then it's trivial to find it's minimum.
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  3. #3
    Super Member fardeen_gen's Avatar
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    I was unable to write the function. Thats why I posted the problem. Anyone?
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  4. #4
    Super Member fardeen_gen's Avatar
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    What is an optimization problem?
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