Expression 14: "v" Subscript, 2 , Baseline equals left brace, "t" Subscript, 1 , Baseline less than 0 : "v" Subscript, 0 , Baseline , "t" Subscript, 1 , Baseline greater than or equal to 0 : "v" Subscript, 1 , Baseline , right bracev2=t1<0:v0,t1≥0:v1
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14
Expression 15: "v" Subscript, 3 , Baseline equals left brace, "t" Subscript, 0 , Baseline greater than 0 : "v" Subscript, 0 , Baseline , "t" Subscript, 0 , Baseline less than 0 : "v" Subscript, 1 , Baseline , right bracev3=t0>0:v0,t0<0:v1
15
Expression 16: "v" Subscript, 4 , Baseline left parenthesis, "x" , right parenthesis equals left brace, "d" less than 0 : "v" Subscript, 2 , Baseline , "d" greater than or equal to 0 : "v" Subscript, 3 , Baseline , right bracev4x=d<0:v2,d≥0:v3
16
Expression 17: left brace, 0 less than "x" less than "t" Subscript, 2 , Baseline , right brace "v" Subscript, 4 , Baseline left parenthesis, "x" , right parenthesis0<x<t2v4x
17
Position over time
18
Expression 19: left brace, 0 less than "x" less than "t" Subscript, 2 , Baseline , right brace Start integral from 0 to "x" , end integral, "v" Subscript, 4 , Baseline left parenthesis, "t" , right parenthesis "d" "t"0<x<t2∫x0v4tdt
19
Total travel time
20
Expression 21: "t" Subscript, 2 , Baseline equals left brace, "d" less than 0 : left brace, "t" Subscript, 1 , Baseline less than 0 : StartFraction, 2 "t" Subscript, 0 , Baseline plus "v" Over "a" , EndFraction , "t" Subscript, 1 , Baseline greater than or equal to 0 : StartFraction, 2 "t" Subscript, 1 , Baseline minus "v" Over "a" , EndFraction , right brace , "d" greater than or equal to 0 : left brace, "t" Subscript, 0 , Baseline less than 0 : StartFraction, 2 "t" Subscript, 1 , Baseline minus "v" Over "a" , EndFraction , "t" Subscript, 0 , Baseline greater than or equal to 0 : StartFraction, 2 "t" Subscript, 0 , Baseline plus "v" Over "a" , EndFraction , right brace , right bracet2=d<0:t1<0:2t0+va,t1≥0:2t1−va,d≥0:t0<0:2t1−va,t0≥0:2t0+va
