Astronauts looking at Earth troma spacecraft can see only a portion af the surtace.t See the figure below. The fraction Fof the surfaoe of Earth that is visible at a height h, in klometers, above the surface is given by the formula 0.5h R+h Here Ris the radius of Earth, about 6380 kdlameters. (For comparison, 1 kdlameter is about a.62 mile, and the moon is about 380,000 klometers from Earth.) (a) Make the craph of Fversus h covering heights up to 100,000 klometers. 0.5 0.5 0.4 0.4 02 20000 40000 60 000 BO 00NOD 000 20000 1o 6Doonpo00 100000 40o 0.6 0.6 05 0.5 0.4 04 02 0.1 h 20000 40000 GO000 B000 100000 20000 400DO 60000 HO 000 100000 (b) A value of F equal to 0.2 means that 20%, or one-fith, af Earth's surface is visble At what height is this fraction visible? (Round your answer to the nearest whole number.) km (c) During ane filight af a space shuttie, astronauts performed an extravehicular activity at a height of 290 iolameters. What fraction of the surface of Earth is visible at that height? (Round your answer to twa decimal places.) (c) he graph of Fconcave up or O conca e concave down lain your answer in practical terms. OA cnoraft oets higher, the fraction of the Earth's surface which is visible de But at an increasing rate. As the spar cts hicher, the fraction TE WnE VIsble decreases, at a decreasing rate. herent cets O As the spacecraft gets higher, the the Earth's surface which is visible increases, at a constant rate of the Earths surface which is visible increases, but at a decasing (e) Determine the limiting value for Fas the height h gets largen Explain your anawer in practical terms. This answer has not been graded yet.
Astronauts looking at Earth troma spacecraft can see only a portion af the surtace.t See the figure below. The fraction Fof the surfaoe of Earth that is visible at a height h, in klometers, above the surface is given by the formula 0.5h R+h Here Ris the radius of Earth, about 6380 kdlameters. (For comparison, 1 kdlameter is about a.62 mile, and the moon is about 380,000 klometers from Earth.) (a) Make the craph of Fversus h covering heights up to 100,000 klometers. 0.5 0.5 0.4 0.4 02 20000 40000 60 000 BO 00NOD 000 20000 1o 6Doonpo00 100000 40o 0.6 0.6 05 0.5 0.4 04 02 0.1 h 20000 40000 GO000 B000 100000 20000 400DO 60000 HO 000 100000 (b) A value of F equal to 0.2 means that 20%, or one-fith, af Earth's surface is visble At what height is this fraction visible? (Round your answer to the nearest whole number.) km (c) During ane filight af a space shuttie, astronauts performed an extravehicular activity at a height of 290 iolameters. What fraction of the surface of Earth is visible at that height? (Round your answer to twa decimal places.) (c) he graph of Fconcave up or O conca e concave down lain your answer in practical terms. OA cnoraft oets higher, the fraction of the Earth's surface which is visible de But at an increasing rate. As the spar cts hicher, the fraction TE WnE VIsble decreases, at a decreasing rate. herent cets O As the spacecraft gets higher, the the Earth's surface which is visible increases, at a constant rate of the Earths surface which is visible increases, but at a decasing (e) Determine the limiting value for Fas the height h gets largen Explain your anawer in practical terms. This answer has not been graded yet.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Transcribed Image Text:Astronauts looking at Earth froma spacecraft can see only a portion ot the surtace.t See the figure below. The fraction Faf the surface of Earth that is visible at a height h, in klometers, above the surface is given by the formula
E 0.50
F-
R+h
Here Ris the radius of Earth, about 6380 kdlameters. (For comparison, 1 kdlameter is about 0.62 mile, and the moon is about 380,000 kolometers from Earth.)
(a) Make the craph of F versus h covering heights up to 100,000 klometers.
05
0.5
0.4
0.4
0.2
0.2
0.1
0.1
20000 40000 s0000 BO 0odNoD 000
20000 1do G0 000 D000 10000
0.6
0.
0.5
0.5
0.4
04
02
0.1
0.1
20000 40000 60000 ho 000 100000
20000 40000 G0000 B0O00 100000
(b) A value of F egual to 0.2 means that 20%, ar one-tifth, af Eartn's surface is visble. At what height is this fraction visible? (Round your answer to the nearest whole number.)
km
(c) Duning one fight of a space shuttle, astronauts performed an extravehicular activity at a height of 290 kalameters. What fraction of the surface of Earth is visible at that height? (Round your answer to twa decimal places.)
che graph of Fconcave up or co d
O conca
e concave down
plain your answer in practical terms.
O As oraft gets higher, the fraction of the Earth's surface which is visible de Eut at an increasing rate.
As the spac scts hicher, the fraction a TSE WnE VIsble decreases, at a deoreasing rate.
Arshe cnarnenft cets
O As the spacecraft gets higher, the he Earth's surface which is visible increases, at a constant rate.
action of the Earth's surface which is visible increases, but at a decreasing rate.
(e) Determine the limiting value for Fas the height h gets larger.
Explain your answer in practical terms.
This anawar has not been gradad yat.
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