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Use the position function s()--16 vt+ for free-falling objects. A bail is thrown straight down from the top of a d00-foot building with an initial velocity of -20 feet per second. (a) Determine the position and velocity v) functions for the bal, s(t)- 32t-20 ve)--84 (b) Determine the average velocity, in feet per second, on the interval (1, 3). (c) Find the instantaneous velocities, in feet per second, when t-1 and t. v(1) - 42 v /s (4) Find the time, in seconds, required for the ball to reach ground level. (Round your answer to three decimal places.) 5.5 (e) Find the velocity of the ball, in feet per secind, at impact. (Round your answer to one decimal piace.) -196 x /s

Use the position function s()--16 vt+ for free-falling objects. A bail is thrown straight down from the top of a d00-foot building with an initial velocity of -20 feet per second. (a) Determine the position and velocity v) functions for the bal, s(t)- 32t-20 ve)--84 (b) Determine the average velocity, in feet per second, on the interval (1, 3). (c) Find the instantaneous velocities, in feet per second, when t-1 and t. v(1) - 42 v /s (4) Find the time, in seconds, required for the ball to reach ground level. (Round your answer to three decimal places.) 5.5 (e) Find the velocity of the ball, in feet per secind, at impact. (Round your answer to one decimal piace.) -196 x /s

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 9E
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Use the position function s()- -16r+ vot + So for free-falling objects. A ball is thrown straight down from the top of a 600-foot building with an initial velocity of -20 feet per second. (a) Determine the position and velocity v(t) functions for the bal, st)- 321-20 x V) --84 (b) Determine the average velocity, in feet per second, on the interval (1, 3). (c) Find the instantaneous velocities, in feet per second, whent=1 and t-3. v R/s v(1) 52 3) 116 (4) Find the time, in seconds, required for the ball to reach ground level,. (Round your answer to three decimal places.) 5.5 (e) Find the velocity of the ball, in feet per second, at impact. (Round your answer to one decimal place.) -196
Transcribed Image Text:Use the position function s()- -16r+ vot + So for free-falling objects. A ball is thrown straight down from the top of a 600-foot building with an initial velocity of -20 feet per second. (a) Determine the position and velocity v(t) functions for the bal, st)- 321-20 x V) --84 (b) Determine the average velocity, in feet per second, on the interval (1, 3). (c) Find the instantaneous velocities, in feet per second, whent=1 and t-3. v R/s v(1) 52 3) 116 (4) Find the time, in seconds, required for the ball to reach ground level,. (Round your answer to three decimal places.) 5.5 (e) Find the velocity of the ball, in feet per second, at impact. (Round your answer to one decimal place.) -196
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