Expression 11: "y" equals "x" tangent left parenthesis, StartFraction, "s" pi Over 180 , EndFraction , right parenthesis left brace, 0 less than or equal to "x" less than or equal to "d" Subscript, "r" , Baseline cos left parenthesis, StartFraction, "s" pi Over 180 , EndFraction , right parenthesis , right bracey=xtansπ1800≤x≤drcossπ180
11
Distance to Brake
Hide this folder from students.
12
Expression 13: "d" Subscript, "b" , Baseline equals StartFraction, "v" squared Over 2 left parenthesis, "a" plus 9.8sin left parenthesis, StartNestedFraction, "s" pi NestedOver 180 , EndNestedFraction , right parenthesis , right parenthesis , EndFractiondb=v22a+9.8sinsπ180
equals=
23.4 9 4 7 8 8 3 3 2 923.4947883329
13
Expression 14: "y" equals "x" tangent left parenthesis, StartFraction, "s" pi Over 180 , EndFraction , right parenthesis left brace, "d" Subscript, "r" , Baseline cos left parenthesis, StartFraction, "s" pi Over 180 , EndFraction , right parenthesis less than or equal to "x" less than or equal to left parenthesis, "d" Subscript, "b" , Baseline plus "d" Subscript, "r" , Baseline , right parenthesis cos left parenthesis, StartFraction, "s" pi Over 180 , EndFraction , right parenthesis , right bracey=xtansπ180drcossπ180≤x≤db+drcossπ180
14
60-0 Deceleration to a values
Hide this folder from students.
15
The B value is representing how long it takes for a vehicle to stop moving after braking at 60 mph. This is from what I can tell the most standard form of braking ability. The current B value is for the average small car. This is a good resource for finding average values:
https://www.consumerreports.org/car-safety/best-and-worst-braking-distances-a2960086475/
16
Expression 17: "b" equals 107b=107
00
400400
17
This equation converts the b values into a braking coefficient that works with our model
18
Expression 19: "a" equals StartFraction, 26.8 2 2 4 squared Over 2 left parenthesis, 0.3 0 4 8 "b" , right parenthesis , EndFractiona=26.8224220.3048b