# Parabolas Word Problems

Many students find parabolas word problems difficult. At TuLyn, we created word problems on parabolas to help you better understand parabolas.

### Directrix Word Problems

Practice directrix word problems.

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Below is the list of all word problems we have on parabolas.

# Parabolas Word Problems

• A cable of a suspension bridge is in form of a parabola (#3165)
A cable of a suspension bridge is in form of a parabola whose span is 40 m. the roadway is 5 m below the lowest point of cable. If a extra support is provided across the cable 30 m above the ground level, find length of the support if the height of the pillars are 55 m
parabolas, curves
• A mirror in the shape of a paraboloid (#2784)
A mirror in the shape of a paraboloid of revolution. If a light source is located 1 foot from the base along the axis of symmetry and the opening is 2 feet ...
parabolas, curves
• After Mr.Zillmer got hit in the head with a pitch (#1911)
After Mr.Zillmer got hit in the head with a pitch. Mr. Rukamp came up to bat. The equation h=-.004d2 +.96d+3 represents the path the ball took after Mr. Rukamp hit the first ...
parabolas, curves
• An arch is in a form of a parabola (#1633)
An arch is in a form of a parabola which the vertex on the top. if it is 45m wide on the base and 18m high on the ...
curves, parabolas
• Determine the distance across the base (#1914)
Determine the distance across the base of a parabolic arch that measures 30 feet at its highest point if the roadway through the center of the arch is 48 feet wide and must have a minimum clearance of 15 feet.
parabolas, curves
• Find two numbers such that (#1166)
Find two numbers such that their sum is 20 and the sum of their squares is as small as possible.
curves, parabolas
• Parabolas (#6732)
The weekly profit function in dollars of a small business that produces fruit jams is:
p(x) = -0.4x^2 + 40x -360.  Find the number of jars of jam that should be produced to maximize the weekly ...
parabolas, curves
• Parabolas (#7766)
In your subdivision you have an area planted with tulips and walking trails. To keep the area natural you want to enclose the largest area possible with 2000 feet of fence. Assume the gates are the same width as the amount of fence you use to build them. 1. Write the equation of area A 2...
parabolas, curves
• Parabolas (#8485)
the diagram shows a jackrabbit jumping over a three foot high fence. In order to just clear the fence, the rabbit must start it's jump at a point four feet from the ...
parabolas, curves
• Parabolas (#8486)
the diagram shows a jackrabbit jumping over a three foot high fence. In order to just clear the fence, the rabbit must start it\'s jump at a point four feet from the ...
parabolas, curves
• Parabolas (#9256)
The height, h meters, of a flare as a function of the time, t seconds, since the flare was fired from a boat, can be modeled by the function, h=-5.25(t-4)^2+6. How many seconds after it was fired did the flare hit the ...
parabolas, curves
• Parabolas (#9585)
1) A bridge is to be built in the shape of a parabolic arch and is said to have a span of 100 feet. The height of the arch a distance of 40 feet from the center is to be 10 ...
parabolas, curves
• Parabolas (#10361)
A cable of a suspension bridge hangs in the form of a parabola when the load is uniformly distributed horizontally.The distance between two towers is 1500 ft,the points of support of the cable on the towers are 200 ft above the roadway and the lowest point on the cable is 70 ft above the roadway ...
parabolas, curves
• The main suspension cables between the towers (#398)
The main suspension cables between the towers of the Golden Gate Bridge form a parabola that can be modeled by the quadratic function

y=0.000112x2 + 220

where x is the horizontal distance from the middle of the bridge and y is the vertical distance from the water level.

The cables are connected to the towers at points that are 5000 feet above the road, and the road is about 220 feet above the mean water ...
parabolas, curves
• The vertex of this parabola (#1441)
The vertex of this parabola is at (3, 5). When the y-value is 6, the x-value is -1...
parabolas, curves

### Curves Word Problems

Find word problems and solutions on curves.