
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
The maximum height reached by the ball from the ground can be calculated using the formula h = -5t^2 + v_0t + h_0, where h_0 (m) is the initial height of 1.5m and v_0 (m/s) is the initial speed of 20m/s. Calculate the maximum height reached by the ball from the ground.

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