Question: Use the position function s(t) = 4.9t 2 + v 0 t + s 0 for free-falling objects. A rock is dropped from the edge

Use the position function s(t) = −4.9t² + v₀t + s₀ for free-falling objects. A rock is dropped from the edge of a cliff that is 214 meters above water.

(a) Determine the position and velocity functions for the rock.

(b) Determine the average velocity on the interval [2, 5].

(d) Find the time required for the rock to reach the surface of the water.

(e) Find the velocity of the rock at impact.

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a Using st 49t2 v0t s0 with v0 0 since the rock is dropped we get st 49t2 214 The position functi... View full answer

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