
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

An athlete weighing 78.75 kg tests a net used by firefighters for rescuing people. The net sagged 100 cm when jumping from a height of 15 m. Assuming the net is elastic like a spring, calculate how much it will sag when a person weighing 45 kg jumps from a height of 29 m.

Given:

$m_{1} = 78.75$ kg;

$x_{1} = 1$ m;

$h_{1} = 15$ m;

$m_{2} = 45$ kg;

$h_{2} = 29$ m;

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