Can you help him out?

Classical Mechanics Level 4

From point \(A\) located on a highway, one has to get by car as soon as possible to point \(B\) located in the field at a distance \(l\) from the highway. It is known that the car moves in the field \(\alpha\) times slower than on the highway. At what distance from \(D\) one must turn off the highway directly to B to reach there in the least of the time.


  • \(l =\) 500 m
  • \(\alpha = 3\)

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