A silver dollar is dropped from the top of a building that is 1400 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) = -161 + 1400 v(t) = -32t (b) Determine the average velocity on the interval [1, 2]. -48 ft/s (c) Find the instantaneous velocities when t = 1 second and t = 2 seconds. v(1) = |-32 ft/s v(2) = -64 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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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A silver dollar is dropped from the top of a building that is 1400 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) = -161 + 1400
v(t) = -32t
(b) Determine the average velocity on the interval [1, 2].
-48
ft/s
(c) Find the instantaneous velocities when t = 1 second and t = 2 seconds.
v(1) = |-32
ft/s
v(2) = -64
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
Transcribed Image Text:A silver dollar is dropped from the top of a building that is 1400 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) = -161 + 1400 v(t) = -32t (b) Determine the average velocity on the interval [1, 2]. -48 ft/s (c) Find the instantaneous velocities when t = 1 second and t = 2 seconds. v(1) = |-32 ft/s v(2) = -64 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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