A silver dollar is dropped from the top of a building that is 1329 feet tall. Use the position function below for free-falling objects. s(t) = -16t² + vot + 50 (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) = (d) Find the time required for the coin to reach the ground level. (Round your answer to three decimal places.) t= ft/s ft/s (e) Find the velocity of the coin at impact. (Round your answer to three decimal places.) ft/s Need Help? Read It

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10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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A silver dollar is dropped from the top of a building that is 1329 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) =
=
(d) Find the time required for the coin to reach the ground level. (Round your answer to three decimal places.)
t=
ft/s
ft/s
(e) Find the velocity of the coin at impact. (Round your answer to three decimal places.)
ft/s
Need Help?
Read It
Transcribed Image Text:A silver dollar is dropped from the top of a building that is 1329 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) = = (d) Find the time required for the coin to reach the ground level. (Round your answer to three decimal places.) t= ft/s ft/s (e) Find the velocity of the coin at impact. (Round your answer to three decimal places.) ft/s Need Help? Read It
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