The height s (in feet) at time t (in seconds) of a silver dollar dropped from the top of a building is given by s = (a) Find the average velocity on the interval [1, 3]. ft/s • (b) Find the instantaneous velocities when t = 1 and when t = 3. s'(1) = s'(3) = ft/s ft/s (c) How long will it take the dollar to hit the ground? (Round your answer to two decimal places.) S (d) Find the velocity of the dollar when it hits the ground. (Round your answer to one decimal place.) ft/s -16t² +.585.

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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LARAPCALC10 2.3.017.
The height s (in feet) at time t (in seconds) of a silver dollar dropped from the top of a building is given by s = -16t² +.585.
(a) Find the average velocity on the interval [1, 3].
ft/s
(b) Find the instantaneous velocities when t = 1 and when t = 3.
s'(1) =
s'(3) =
ft/s
ft/s
(c) How long will it take the dollar to hit the ground? (Round your answer to two decimal places.)
S
(d) Find the velocity of the dollar when it hits the ground. (Round your answer to one decimal place.)
ft/s
Transcribed Image Text:4. DETAILS LARAPCALC10 2.3.017. The height s (in feet) at time t (in seconds) of a silver dollar dropped from the top of a building is given by s = -16t² +.585. (a) Find the average velocity on the interval [1, 3]. ft/s (b) Find the instantaneous velocities when t = 1 and when t = 3. s'(1) = s'(3) = ft/s ft/s (c) How long will it take the dollar to hit the ground? (Round your answer to two decimal places.) S (d) Find the velocity of the dollar when it hits the ground. (Round your answer to one decimal place.) ft/s
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