While vacationing in the mountains you do some hiking. In the morning, your disp

Question

While vacationing in the mountains you do some hiking. In the morning, your displacement is S rightarrow morning = ( 2200 m, east) + ( 4000 m, north) + ( 200 m, vertical). After lunch, your displacement is S rightarrow afternoon = ( 1000 m , west) + ( 2300 m, north) - ( 300 m, vertical). At the end of the hike, how much higher or lower are you compared to your starting point? m In the space provided, write the east, north and vertical components of S total, in the order given above, and separated by commas. For example, 1, 1, - 1. S rightarrow total = m

Explanation / Answer

lower or higher refers to just the vertical motion. Youwent .     + 200   - 300  vertically, so you ended up -100   or    100meters lower than your starting point. . to get the total of each component, just add the componentsfrom each part: .     2200 east - 1000 west =     1200 east .    4000 north + 2300 north = 6300 north . So the total componentsare          1200 , 6300 , -100

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