parts 1-2 writing/developing/calculating a formula
TRANSCRIPT
PARTS 1-2PARTS 1-2
Writing/Developing/Calculating a Formula
Part 1: Writing/Developing a Formula۞ How many feet are in a mile? 5280 ft.
۞ How would you convert 15 ft to miles?
۞ How Would you represent h feet in miles?
۞A. Use the Pythagorean Theorem to write an equation relating r, d, & h.
۞B. Solve for d.
۞C. In the equation found in part b, replace the h with the answer from #3.
milesftft
ft
352
1002.0
5280
15
milesh
5280
2
22
22
222
22
222
2
528052802
2
2
))((
)(
hrhd
hhrd
hrhd
hrhrdr
hrhrdr
hrdr
222 hrdr
2
528052802
hhrd
Part 2: Calculating the Formula
• Explain why the formula found in Part 1c in approximately
equivalent to
It is approximately equivalent because if you would to
plug in something for h to the original equation found in
Part 1: 4c , the number would be too small to
take into consideration.
.2640
rhd
2
5280
h
PARTS 3PARTS 3
Researching Planet RadiiResearching Planet Radii
Planet RadiiPlanet Radii
PlanetPlanet RadiusRadius
MercuryMercury 1515.52 mi1515.52 mi
VenusVenus 3760.54 mi3760.54 mi
EarthEarth 3963.11 mi3963.11 mi
MarsMars 2110.80 mi2110.80 mi
JupiterJupiter 44423.07 mi44423.07 mi
SaturnSaturn 37448.80 mi37448.80 mi
UranusUranus 15881.63 mi15881.63 mi
NeptuneNeptune 15387.64 mi15387.64 mi
Pluto*Pluto* 720.79 mi720.79 mi
PARTS 4PARTS 4
Using the Formula
2640
rhd 1. Using the formula and the radius of the Earth in Part 3,
determine how far you can see on a clear day. (Hint: Plug in your height for h)
2. Solve the formula for h.
3. Using the formula from #2 and radii found in Part 3, determine how tall a person would have to be on Saturn to see 7 mi to the horizon.
940543770706.0
2640
172.20608
2640
2.511.3963
2640
rhd
hr
d
r
rh
r
drhd
rhd
222
2
2 264026402640*
2640*2640
2640
mih 3311.3963
)7(26409 2
4. Using the formula from #2 and radii found in Part 3, determine how tall a person would have to be on Saturn to see 7 mi to the horizon.
5. Could a person possible see 7 mi to the horizon on Saturn? Why or why not?
No, because there is no person that is that tall.6. Could a person possibly see 7 mi to the horizon on Saturn? Why or
why not? No, because people can not live there
ftmih 184805.3
8.39448
72640 2
PARTS 5-6PARTS 5-6
Graphing Formulas & Visual Display
Interesting Facts about Mars….
dr
h
2)(2640
mi531.328.2110
)1.5(2640 2
Mars: Formula & Graph
2640
8.2110 hd
Jupiter #5
Distance from Sun Approximately 466 million milesNumber of Moons 62 moons have been identified Ganymede is the largest moon -- it is bigger than both Mercury and PlutoDiameter 85,788 miles the largest planet -- more than 12 Earths could line up across it! scientists use the planet's gravity to accelerate spacecraft so they can reach Saturn, Uranus and NeptuneComposition a giant ball of mostly hydrogen and heliumLength of Day 9 hours, 55 minutes in Earth time (the length of one rotation)Length of a Year 12 Earth years (the length of one orbit around the sun)Name named for the king of the Roman gods.Visited by Pioneer 11, Viking, Galileo, Cassini and others feetd
milesd
d
rhdFormula
ft
miles
miles
176.49390
3542.92640
)2.5(8.44423
2640:
________________
8448
607.1
66069488218.107.44423
)2.5(2640 2Part 5 & 6:
Jupiter’s FORMULA & GRAPH
2640
07.44423 hd
=4.84763.15881
2)4.5(2540
4.847miles
= 25592.16 feet :D
Facts: Uranus is the seventh planet from the Sun.
Uranus is a giant gas planets which is made up of mostly rock and various ices.
Uranus has been visited by only one spacecraft, Voyager 2 on Jan 24 1986.
Uranus spins differently from most planets. It seems to be tilted "sideways" instead of right-side up. At the time of Voyager 2’ passage, Uranus' south pole was pointed almost directly at the Sun.
Uranus has 15 known moons. Voyager 2 discovered 10 small moons in addition to the 5 large ones already known. It is likely that there are many more tiny moons within the rings.
2640
)4.5(63.15881 2
d
=13.2446
2640
63.15881 hd
Neptune
24.29346
5580.52640
)3.5(64.15387
Facts of Neptune
Neptune's Great Dark SpotNeptune's rings
Facts about NeptuneTopic Data
Diameter 49,572 kmDensity 1.64 g/cm3
Mass 1.024 x 1026 kgVolume 6.379 x 1013 km3
Temperature Range -223° C to >-220° CAtmosphere Hydrogen, Helium, Methane
Winds Up to 2400 m/sMoons 13
Average Distance from Sun 4,504,300,000 kmOrbital Period 164 Years, 288 Days, 13.0 Hours
Rotation 0 Days, 16.11 HoursTilt 28.31°
Rings YesComposition Hydrogen and Helium
Magnetic Field Up to 20 times its radius
False-color image of Neptune. Red areas are semitransparent haze covering planet. Cloud systems in
Neptune's southern hemisphere.
Formula
2640
64.15387 hd
Graph