[b]1. Two boats start out 800 miles apart with boat A directly to the west of boat B. At the same time both boats start moving with boat A travelling to the east at 40mph while boat B travels north at 20mph. Determine if the distance between the boats is increasing, decreasing, or not changing after the following travel times: (a) 7 hours (b) 16 hours (c) 25 hours [/b]
[b]2. I attempted to break apart their distances travelled by using component vector analysis. The distance between the two boats is the hypotenuse of whatever triangle they produce on the graph at a certain time. We want to find d'.[/b]
[b]3. d'=? I park boat A at origin, therefore its cartesian coordinates are (0, 0), so boat B must be at (0, 800)
For part (a) I use vector components: A in x-direction: 400(7)=280 x-direction
A is (280, 0) B is (800, 140)
Base distance is 800-280=520 Height is just 140, how do I proceed to find h' ? Similar triangle don't work bcuz boats have diff. rates.
2007-10-15
11:10:02
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1 answers
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asked by
pyrojelli
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