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
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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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
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12.975t² on Jupiter.
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