
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 small ball is released without initial velocity from a height \(h=20\) meters. The collision with the horizontal surface of the Earth is perfectly elastic. Determine the moment in time after the start of the fall when the ball's average speed is equal to its instantaneous speed. The acceleration due to gravity \(g\) is \(10 \, \mathrm{m} / \mathrm{s}^2\).

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