The equations for free fall at the surfaces of Venus and Jupiter (s in meters, t in seconds) are s = 4.435t² on Venus 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 Venus: seconds seconds On Jupiter: (b) Using derivatives, what is the acceleration due to gravity on each planet? On Venus: m/s² m/s² On Jupiter:
The equations for free fall at the surfaces of Venus and Jupiter (s in meters, t in seconds) are s = 4.435t² on Venus 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 Venus: seconds seconds On Jupiter: (b) Using derivatives, what is the acceleration due to gravity on each planet? On Venus: m/s² m/s² On Jupiter:
Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Transcribed Image Text:The equations for free fall at the surfaces of Venus and Jupiter (s in meters, t in seconds) are s = 4.435t² on Venus 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 Venus:
seconds
On Jupiter:
→
On Jupiter:
B
(b) Using derivatives, what is the acceleration due to gravity on each planet?
On Venus:
m/s²
m/s²
GI
seconds
-I
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