# math

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

1. 👍 0
2. 👎 0
3. 👁 97
1. surely you can at least do part 1. ?

1. 👍 0
2. 👎 0
posted by Steve
2. Try to substitute your x and y

1. 👍 0
2. 👎 0
posted by Anno_

## Similar Questions

1. ### Matrix application

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-ordinates. The road alignment must pass through the following 3 points:- x = 150m y = 190.650m x = 300m y

asked by Barry on December 5, 2016
2. ### Physics

A car with a mass of 900 kg moves along a road at a 89 km/hour at equal speed. On the road is a curve with a radius of 250. a) What is the force in the curve between the tires and the road if the road is horizontal? b) What

asked by Physics on March 11, 2014
3. ### Physics

A car goes around a curve on a road that is banked at an angle of 30 degrees. Even though the road is slick, the car will stay on the road without any friction between its tires and the road when its speed is 24.0 m/s. WHAT IS THE

asked by Dwight on November 29, 2009
4. ### Physics

A car goes around a curve on a road that is banked at an angle of 30 degrees. Even though the road is slick the car will stay on the road without any friction between its tires and the road when its speed is 24.0 m/s. WHAT IS THE

asked by Alyssa on November 29, 2009
5. ### Physics

A car goes around a curve on a road that is banked at an angle of 33.5 degrees. Even though the road is slick, the car will stay on the road without any friction between its tires and the road when its speed is 22.7 m/s. What is

asked by Claire on September 19, 2012
6. ### Physics

A car goes around a curve on a road that is banked at an angle of 32.5 . Even though the road is slick, the car will stay on the road without any friction between its tires and the road when its speed is 19.0 . What is the radius

asked by Erik on October 3, 2011
7. ### physics

A car goes around a curve on a road that is banked at an angle of 30.5 . Even though the road is slick, the car will stay on the road without any friction between its tires and the road when its speed is 19.0 . What is the radius

asked by Kathryn on May 19, 2011
8. ### Physics

as you are riding in a 1650-kg car, you approach a hairpin curve in the road whose radius is 50m. the roadbed is banked inward at anangle of 10 degrees. suppose that the road is dry and that the static friction coefficient between

asked by Tim on October 24, 2014
9. ### Physics

A 410 kg race car is rounding a curve in the road which is banked at an angle of 23.4 degrees from the horizontal. Assume that there has just been a massive snowfall and the road’s surface is frictionless. What must the radius

asked by Catherine on April 21, 2016
10. ### Calculus 3

If the curve of intersection of the parabolic cylinder y = x^2 and the top half of the ellipsoid x^2 + 5y^2 + 5z^2 = 25. Then find parametric equations for this curve.

asked by Lamar on February 15, 2014

More Similar Questions