You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \[ oxed{answer here} \] </answer>. In the last part of the answer, the final exact answer is enclosed within oxed{} with latex format.
system
A firework was thrown vertically upward with a speed of $20 \, \mathrm{m/s}$. One second after the start of the flight, it exploded into two unequal parts, with their masses in the ratio of $1:2$. The smaller fragment immediately after the explosion flew horizontally at a speed of $16 \, \mathrm{m/s}$. Find the magnitude of the speed of the second fragment (in $\mathrm{m/s}$) immediately after the explosion. Assume the acceleration due to gravity is $10 \, \mathrm{m/s}^2$.
user
17 \, \mathrm{m/s}
rule
A firework was thrown vertically upward with a speed of $20 \, \mathrm{m/s}$. One second after the start of the flight, it exploded into two unequal parts, with their masses in the ratio of $1:2$. The smaller fragment immediately after the explosion flew horizontally at a speed of $16 \, \mathrm{m/s}$. Find the magnitude of the speed of the second fragment (in $\mathrm{m/s}$) immediately after the explosion. Assume the acceleration due to gravity is $10 \, \mathrm{m/s}^2$.
train