(a) Find the position and velocity functions for the rock. s(t) = v(t) = (b) Find the average velocity (in ft/sec) over the interval (0, 2]. ft/sec (c) Find the instantaneous velocities (in ft/sec) at t =1 and t = 4. v(1) %3D ft/sec v(4) = ft/sec (d) How long (in sec) will it take the rock to hit the water? (Round your answer to two decimal places.) sec (e) Find he velocity (in ft/sec) of the rock when it hits the water. (Round your answer to one decimal place.) ft/sec

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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 rock is dropped from a tower on the Brooklyn Bridge, 279 feet above the East River. Let t represent the time in seconds. 

(a) Find the position and velocity functions for the rock.
s(t) =
v(t) =
(b) Find the average velocity (in ft/sec) over the interval (0, 2].
ft/sec
(c) Find the instantaneous velocities (in ft/sec) at t =1 and t = 4.
v(1)
%3D
ft/sec
v(4) =
ft/sec
(d) How long (in sec) will it take the rock to hit the water? (Round your answer to two decimal places.)
sec
(e) Find he velocity (in ft/sec) of the rock when it hits the water. (Round your answer to one decimal place.)
ft/sec
Transcribed Image Text:(a) Find the position and velocity functions for the rock. s(t) = v(t) = (b) Find the average velocity (in ft/sec) over the interval (0, 2]. ft/sec (c) Find the instantaneous velocities (in ft/sec) at t =1 and t = 4. v(1) %3D ft/sec v(4) = ft/sec (d) How long (in sec) will it take the rock to hit the water? (Round your answer to two decimal places.) sec (e) Find he velocity (in ft/sec) of the rock when it hits the water. (Round your answer to one decimal place.) ft/sec
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