9. Free fall on Mars and Jupiter The equations for free fall at the surfaces of Mars and Jupiter (s in meters, in seconds) are s = 1.86r? on Mars and s 11.4412 on Jupiter. How long does it take a rock falling from rest to reach a velocity of 27.8 m/sec (about 100 km/h) on each planet?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter7: Exponents And Exponential Functions
Section7.1: Multiplication Properties Of Exponents
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9. Free fall on Mars and Jupiter The equations for free fall at the
surfaces of Mars and Jupiter (s in meters, r in seconds) are
s 1.861 on Mars and s 11.44r2 on Jupiter. How long does it
take a rock falling from rest to reach a velocity of 27.8 m/sec
(about 100 km/h) on each planet?
10. Lunar projectile motion A rock thrown vertically upward
from the surface of the moon at a velocity of 24 m/sec (about 86
km/h) reaches a height of s 24r - 0.812 meters in t sec.
a. Find the rock's velocity and acceleration at time t. (The accel-
eration in this case is the acceleration of gravity on the moon.)
b. How long does it take the rock to reach its highest point?
c. How high does the rock go?
d. How long does it take the rock to reach half its maximum
height?
e. How long is the rock aloft?
Transcribed Image Text:9. Free fall on Mars and Jupiter The equations for free fall at the surfaces of Mars and Jupiter (s in meters, r in seconds) are s 1.861 on Mars and s 11.44r2 on Jupiter. How long does it take a rock falling from rest to reach a velocity of 27.8 m/sec (about 100 km/h) on each planet? 10. Lunar projectile motion A rock thrown vertically upward from the surface of the moon at a velocity of 24 m/sec (about 86 km/h) reaches a height of s 24r - 0.812 meters in t sec. a. Find the rock's velocity and acceleration at time t. (The accel- eration in this case is the acceleration of gravity on the moon.) b. How long does it take the rock to reach its highest point? c. How high does the rock go? d. How long does it take the rock to reach half its maximum height? e. How long is the rock aloft?
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