
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
When shooting, the speed of the bullet when it leaves the muzzle can be calculated using the formula $v=\sqrt{2al}$, where $a$ is the acceleration of the bullet and $l$ is the length of the barrel. If $a=5\times 10^{5}m/s^{2}$ and $l=0.81m$, calculate the speed of the bullet when it leaves the muzzle, expressed in scientific notation.

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