A ball is thrown vertically upward from the top of a 96 ft tower, with an initial velocity of 16 ft/sec. Its position function is s(t) = -16t2 + 16t + 96. What is its velocity in ft/sec when it hits the ground? (AWARD AND FAN)

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A ball is thrown vertically upward from the top of a 96 ft tower, with an initial velocity of 16 ft/sec. Its position function is s(t) = -16t2 + 16t + 96. What is its velocity in ft/sec when it hits the ground? (AWARD AND FAN)

Mathematics
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The position function \(s(t) = -16t^{2} + 16t + 96\) Leads to the velocity function: \(v(t) = -32t + 16\) Tell me first that you know where that \(v(t)\) came from. Tell me second the values of t for which s(t) = 0. Tell me third which one is pertinent and which must be discarded. One more thing after that.
i don't know what any of those are ?

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