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Part of the road is to be on a parabolic curve given by a function of the form y = ax^2 + bx + c where x and y are local co-ord...Asked by k
Part of the road is to be on a parabolic curve given by a function of the form y = ax2 + bx + c where x and y are local co-ordinates.
The road alignment must pass through the following 3 points:-
x = 150m y = 190.650m
x = 300m y = 611.450m
x = 450m y = 831.141m
5.1. Substitute each pair of x,y values to produce 3 simultaneous equations with unknowns a, b and c.
5.2. Solve these simultaneous equations to determine the values of a, b and c and substitute these into the standard form to give the particular function for the road curve.
5.3. Use this function to determine the y ordinates at x = 220m and the x ordinate at y =700m
The road alignment must pass through the following 3 points:-
x = 150m y = 190.650m
x = 300m y = 611.450m
x = 450m y = 831.141m
5.1. Substitute each pair of x,y values to produce 3 simultaneous equations with unknowns a, b and c.
5.2. Solve these simultaneous equations to determine the values of a, b and c and substitute these into the standard form to give the particular function for the road curve.
5.3. Use this function to determine the y ordinates at x = 220m and the x ordinate at y =700m
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