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The equations for free fall at the surfaces of Saturn and Jupiter (s in meters, t in seconds) are s = 5.54t2 on Saturn and s = 12.975t2 on Jupiter. (a) How long does it take a rock falling from rest to reach a velocity of 27.8 m/s (about 100 km/hr) on each planet? On Saturn: A seconds On Jupiter: seconds (b) Using derivatives, what is the acceleration due to gravity on each planet? On Saturn: 8 m/s? On Jupiter: m/s²

The equations for free fall at the surfaces of Saturn and Jupiter (s in meters, t in seconds) are s = 5.54t2 on Saturn and s = 12.975t2 on Jupiter. (a) How long does it take a rock falling from rest to reach a velocity of 27.8 m/s (about 100 km/hr) on each planet? On Saturn: A seconds On Jupiter: seconds (b) Using derivatives, what is the acceleration due to gravity on each planet? On Saturn: 8 m/s? On Jupiter: m/s²

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 7P
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The equations for free fall at the surfaces of Saturn and Jupiter (s in meters, t in seconds) are s = = 5.54t² on Saturn and s = (a) How long does it take a rock falling from rest to reach a velocity of 27.8 m/s (about 100 km/hr) on each planet? On Saturn: seconds seconds On Jupiter: (b) Using derivatives, what is the acceleration due to gravity on each planet? On Saturn: m/s² On Jupiter: m/s² ID - - 12.975t² on Jupiter.
Transcribed Image Text:The equations for free fall at the surfaces of Saturn and Jupiter (s in meters, t in seconds) are s = = 5.54t² on Saturn and s = (a) How long does it take a rock falling from rest to reach a velocity of 27.8 m/s (about 100 km/hr) on each planet? On Saturn: seconds seconds On Jupiter: (b) Using derivatives, what is the acceleration due to gravity on each planet? On Saturn: m/s² On Jupiter: m/s² ID - - 12.975t² on Jupiter.
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