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Old Jul 6th 2009, 07:02 PM   #1
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Forces and Motion - Relative Motion Question

Amanda is walking her dog on an extendable leash. The leash can extend for 20m. If Amanda is walking at 4m/s [E] and the dog is walking at 1m/s [E] relative to Amanda. How far has the dog travelled from its original starting point by the time it reaches the end of the leash?


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Old Jul 7th 2009, 04:57 AM   #2
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In future please attempt to answer at least, or post your specific difficulty.
Amanda walks eastwards at 4 m/sec
The dog walks east with respect to Amanda at 1 /sec.
(Thus the vel of the dog is 5 m/sec east. )
Hence the leash will unravel at 1 m/sec till it reaches its limit of 20 m.
At a vel of 1 m/sec, this will take 20 sec.
The speed of the dog is 5 m /sec with respect to the ground. Thus in 20 secs, it will cover
20 x 5 = 100 m.
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