
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
Given the height $h$ (meters) of the tennis ball above the ground as a function of the elapsed time $t$ (seconds) is given by $h=-\dfrac{1}{80}t^{2}+\dfrac{1}{5}t+1$ $(0 \leqslant t \leqslant 20)$, find the height of the tennis ball above the ground when it reaches its highest point.

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