# Algebra

The stopping distance D in feet for a car traveling at x miles per hour is given by d(x)= (1/12)x^2+(11/9)x. Determine the driving speeds that correspond to stopping distances between 300 and 500 feet, inclusive. Round speeds to the nearest mile per hour.

1. 👍 0
2. 👎 0
3. 👁 1,019
1. x^2/12 + 11x/9 = 300
Multiply both sides by 36:
3x^2 + 44x = 10800
3x^2 + 44x - 10800 = 0
X = 53.1 mi/h.

1. 👍 2
2. 👎 0
2. the distance d in feel that it take s an automobile to stop if it is traveling S miles per hour is given by:
S=21d
Find the distance it would take an automobile traveling 60mph to stop.

1. 👍 0
2. 👎 0
3. The stopping distance d in feet for a car traveling at speed of s miles per hour depends on car road conditions. here are two possible stopping distance formulas: d=3s and d=0.05s^2+s. Write and solve an equation to answer the question, "for what speed(s) do the two function predict the same stopping distance

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Physics

You have been called to testify as an expert witness in a trial involving a head-on collision. Car A weighs 1515 lb and was traveling eastward. Car B weighs 1125 lb and was traveling westward at 45.0 mph. The cars locked bumpers

2. ### math

If a car is speeding down a road at 40 (mph), how long is the stopping distance compared to the stopping distance if the driver were going at the posted speed limit of 25 ? Express your answer as a multiple of the stopping

3. ### Math

the stopping distance of an automobile is directly proportional to the square of its speed v. a car required 90 feet to stop when its speed was 70 miles per hour. find a mathematical model that gives the stopping distance d in

4. ### Math algebra

Assume that the stopping distance of a van varies directly with the sqaure of the speed . A van traveling 40 miles per hour can stop in 60 feet. If the van is traveling 56 miles per hour, what is its stopping distance?

1. ### Math

The distance require to stop a car varies directly as the square of its speed. If 250 feet are required to stop a car traveling 60 miles per hour, how many feet are required to stop a car traveling 96 miles per hour!

2. ### Math

The table shows the number of miles driven over time. Time (hours)----------Distance (miles) 4---------------------232 6---------------------348 8---------------------464 10--------------------580 Express the relationship between

3. ### Physics

A race car can be slowed with a constant acceleration of -11 m/s^2 a. If the car is going 55 m/s, how many meters will it travel before it stops? b. How many meters will it take to stop a car going twice as fast? According to one

Write and solve inequality. 17. The speed limit of a highway is 55 miles per hour. A car is traveling at least 65 miles per hour. How many miles per hour m over the speed limit is the cart traveling? (Every time I put one of these

1. ### math

How long will it take a bus traveling at 60 miles per hour to overtake a car traveling at 40 mph if the car had a 1.5 hour head start?

2. ### Math

Please help me.... Two cars are starting from positions that are 20 miles apart. They are both headed for the same intersection, as depicted in the diagram below. Car A is traveling at 30 mph, and Car B is traveling at 45 mph.

3. ### Calculus

The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in miles per hour. T = 2.5x + 0.5x^2 Approximate the change and percent change in total stopping distance as speed changes from x =

4. ### math

The stopping distance (s) of a car varies directly as the square of its speed (v). If a car traveling at 50 mph requires 170 ft to stop, find the stopping distance for a car traveling at v2 = 55 mph.