
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
After long-term observation, it has been found that during busy traffic periods, the relationship between the traffic flow $y$ (thousands of vehicles/hour) on a certain highway and the average speed of vehicles $v$ (km/h) is given by $y= \frac {240v}{v^{2}+20v+1600}$ ($v > 0$).  
$(I)$ If the traffic flow is required to exceed $2$ thousand vehicles/hour during this period, within what range should the average speed of vehicles be?  
$(II)$ During this period, at what average speed $v$ of vehicles is the traffic flow the highest? What is the maximum traffic flow?

Present the answer in LaTex format: \boxed{Your answer}
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