
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
A firecracker was thrown vertically upward with a speed of $20 \, \mathrm{m/s}$. One second after the flight began, it exploded into two unequal parts, with their mass ratio being $1:2$. Immediately after the explosion, the smaller fragment flew horizontally with a speed of $16 \, \mathrm{m/s}$. Find the speed (in m/s) of the second fragment immediately after the explosion. Assume the acceleration due to gravity is $10 \, \mathrm{m/s}^2$.

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