
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 soldier fires a flare vertically upwards from the ground with an initial velocity of $v$ m/s. The height $h$ meters above the ground after $t$ seconds is given by $h(t) = vt - 4.9t^2$. Given that 5 seconds after firing, the flare is 245 meters above the ground, the initial velocity $v$ of the flare is $\boxed{\text{m/s}}$, and the duration for which the flare is above 245 meters is $\boxed{\text{s}}$.

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