1.17. From point A located on a highway (Fig. 1.2) one has to get
by car as soon as possible to point B located in the field at a distance 1
from the highway. It is known that the car moves in the field ri
times slower than on the highway. At what distance from point D
one must turn off the highway?
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Answer:
letthedistancebetweenpointsAandDbeytimetakenbythecar=vy−x+v/nl2+x2=vy−x+vnl2+x2dxdt=v−1+2vl2+x22nx=0⇒x=n2−1l
Explanation:
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