DokuWiki - fricklers.org

Trace:

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revisionPrevious revision
Next revision		Previous revision
streetmath [2020/03/08 14:32] – mariostreetmath [2020/03/08 17:20] (current) – mario
Line 3: Line 3:
 Questions: Questions:
   - Given the speed difference between $C$ and $B$ and the total speed of $B$, what time $T$ does it take for $C$ to overtake $B$?    - Given the speed difference between $C$ and $B$ and the total speed of $B$, what time $T$ does it take for $C$ to overtake $B$? 
-  - And what distance $D$ do both vehicles travel while the overtake takes place?+  - What distance $D$ does the bicycle $B$ travel while the overtake takes place?
  
 === Mathematical Model === === Mathematical Model ===
Line 19: Line 19:
  
 <WRAP center round info 60%> <WRAP center round info 60%>
-It takes+Example: It takes
 \[ T  \[ T 
 = \frac{10 \,\text{m}}{30 \frac{\,\text{km}}{\,\text{h}} - 20 \frac{\,\text{km}}{\,\text{h}}} = \frac{10 \,\text{m}}{30 \frac{\,\text{km}}{\,\text{h}} - 20 \frac{\,\text{km}}{\,\text{h}}}
Line 46: Line 46:
 Now it remains to add the relative window size $w$ to $D$ in order to get the distance $C$ travels from the beginning of the overtake until its end. Now it remains to add the relative window size $w$ to $D$ in order to get the distance $C$ travels from the beginning of the overtake until its end.
  
-In total, overtaking a cyclist riding at 20 km/h while driving a car at 30 km/h takes 3.6 s and meanwhile the cyclist travels 20 m. In order to avoid hitting the cyclist, the driver needs to overview 30 m ahead.+<WRAP center round info 60%> 
 +In total, overtaking a cyclist riding at 20 km/h while driving a car at 30 km/h takes 3.6 s and meanwhile the cyclist travels 20 m. In order to avoid hitting the cyclist, the driver must have the full overview over the road 30 m ahead. 
 +</WRAP>