1. Walking and rowing A
boat on the ocean is 4 mi from the nearest point on a straight shoreline:that
point is 6 mi from a restaurant on the shore (see figure). A woman plans to row
the boat straight to a point on the shore and then walk along the shore to the
restaurant.
a. If she walks at
3 mihr
and rows at 2 mihr, at which point on the shore
should she land to minimize the total travel time?
b. If she walks at
3 mihr,
what is the minimum speed at which she must row so that the quickest way to the
restaurant is to row directly (with no walking)?
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