A silver dollar is dropped from the top of a building that is 1383 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) = V(3) = 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
A silver dollar is dropped from the top of a building that is 1383 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) = V(3) = 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
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 1383 feet tall. Use the position function below for free-falling objects.
s(t) = -16t² + vt + 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) =
v(3) =
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fffc14f3f-7dab-40ef-86e3-dda879a5d551%2F2449025f-ce16-4d51-978a-607247923e3f%2Fr1pexcd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A silver dollar is dropped from the top of a building that is 1383 feet tall. Use the position function below for free-falling objects.
s(t) = -16t² + vt + 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) =
v(3) =
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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