A silver dollar is dropped from the top of a building that is 1338 feet tall. Use the position function below for free-falling objects. s(t) = -16t2 + vot + So (a) Determine the position and velocity functions for the coin. s(t) = v(t) = (b) Determine the average velocity on the interval [2, 3]. ft/s (c) Find the instantaneous velocities when t = 2 seconds and t = 3 seconds. v(2) = ft/s v(3) = ft/s (d) Find the time required for the coin to reach the ground level. (Round your answer to three decimal places.) t = (e) Find the velocity of the coin at impact. (Round your answer to three decimal places.) ft/s

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Chapter1: Units, Trigonometry. And Vectors
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A silver dollar from the top of a building is 1338 feet tall. USE THE POSITION FUNCTION BELOW FOR FREE FALLING OBJECTS.
A silver dollar is dropped from the top of a building that is 1338 feet tall. Use the position function below for free-falling objects.
s(t) = -16t2 + Vot + So
(a) Determine the position and velocity functions for the coin.
s(t) =
v(t) =
(b) Determine the average velocity on the interval [2, 3].
ft/s
(c) Find the instantaneous velocities when t = 2 seconds and t = 3 seconds.
v(2) =
ft/s
v(3) =
ft/s
(d) Find the time required for the coin to reach the ground level. (Round your answer to three decimal places.)
t=
S
(e) Find the velocity of the coin at impact. (Round your answer to three decimal places.)
ft/s
Transcribed Image Text:A silver dollar is dropped from the top of a building that is 1338 feet tall. Use the position function below for free-falling objects. s(t) = -16t2 + Vot + So (a) Determine the position and velocity functions for the coin. s(t) = v(t) = (b) Determine the average velocity on the interval [2, 3]. ft/s (c) Find the instantaneous velocities when t = 2 seconds and t = 3 seconds. v(2) = ft/s v(3) = ft/s (d) Find the time required for the coin to reach the ground level. (Round your answer to three decimal places.) t= S (e) Find the velocity of the coin at impact. (Round your answer to three decimal places.) ft/s
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