Expression 16: "F" Subscript, "t" "h" "r" "u" "s" "t" , Baseline equals "m" Subscript, "F" , Baseline left parenthesis, StartFraction, "C" Subscript, "r" "a" "t" "e" , Baseline Over "C" Subscript, "m" "a" "x" , Baseline , EndFraction , right parenthesis "F" Subscript, "m" "a" "x" , BaselineFthrust=mFCrateCmaxFmax
equals=
102102
16
Top speed for given thrust:
17
Expression 18: "v" Subscript, "t" "a" "r" "g" "e" "t" , Baseline equals 10 StartRoot, StartFraction, StartNestedFraction, 480000 "F" Subscript, "t" "h" "r" "u" "s" "t" , Baseline NestedOver "m" plus 10000 , EndNestedFraction minus 480 Over "w" , EndFraction plus 9 , EndRoot minus 30 minus "g"vtarget=10480000Fthrustm+10000−480w+9−30−g
equals=
206.1 7 2 2 8 8 9 0 1206.172288901
18
Top speed possible overall:
19
Expression 20: "v" Subscript, "m" "a" "x" , Baseline equals 10 StartRoot, StartFraction, StartNestedFraction, 480000 "F" Subscript, "m" "a" "x" , Baseline NestedOver "m" plus 10000 , EndNestedFraction minus 480 Over "w" , EndFraction plus 9 , EndRoot minus 30 minus "g"vmax=10480000Fmaxm+10000−480w+9−30−g
equals=
206.1 7 2 2 8 8 9 0 1206.172288901
20
Transit force curves
Hide this folder from students.
21
"Gravity". Has a value of -10 during the first half of your trip, 10 during the second.
22
Expression 23: "g" equals 0g=0
negative 10−10
1010
23
Current speed, in km/s:
24
Expression 25: "v" equals left brace, "x" minus "g" greater than 0 : "x" minus "g" , right bracev=x−g>0:x−g
25
Forces:
26
Expression 27: "F" Subscript, "d" "r" "a" "g" , Baseline equals negative StartFraction, "w" "v" left parenthesis, "v" plus 60 , right parenthesis Over 4800 , EndFraction minus StartFraction, left parenthesis, "F" Subscript, "t" "h" "r" "u" "s" "t" , Baseline "m" , right parenthesis Over "m" plus 10000 , EndFraction negative 10Fdrag=−wvv+604800−Fthrustmm+10000−10
27
Expression 28: "F" Subscript, "n" "e" "t" , Baseline equals "F" Subscript, "t" "h" "r" "u" "s" "t" , Baseline plus "F" Subscript, "d" "r" "a" "g" , BaselineFnet=Fthrust+Fdrag
28
Change in speed per tick:
29
Expression 30: "a" Subscript, "n" "e" "t" , Baseline equals StartFraction, "F" Subscript, "n" "e" "t" , Baseline Over "m" , EndFractionanet=Fnetm
