A silver dollar is dropped from the top of a building that is 1302 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 [1, 2]. ft/s (c) Find the instantaneous velocities when t = 1 second and t = 2 seconds. v(1) = v(2) = ft/s 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

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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A silver dollar is dropped from the top of a building that is 1302 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 [1, 2].
ft/s
(c) Find the instantaneous velocities when t = 1 second and t = 2 seconds.
v(1) =
v(2) =
ft/s
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 1302 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 [1, 2]. ft/s (c) Find the instantaneous velocities when t = 1 second and t = 2 seconds. v(1) = v(2) = ft/s 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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