SOLUTION: A race car navigates a curve with a radius of 175 ft. If the acceleration of the car cannot exceed 28 ft/s^2 what is the maximum constant speed the car can maintain through the cu

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A race car navigates a curve with a radius of 175 ft. If the acceleration of the car cannot exceed 28 ft/s^2 what is the maximum constant speed the car can maintain through the cu      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1151712: A race car navigates a curve with a radius of 175 ft. If the acceleration of the car cannot exceed 28 ft/s^2 what is the maximum constant speed the car can maintain through the curve?
Answer by ikleyn(52866) About Me  (Show Source):
You can put this solution on YOUR website!
.

The centripetal acceleration is  a = v%5E2%2FR.


To answer the problem's question, you should solve this inequality


    v%5E2%2F175 <= 28.


    v%5E2 <= 28*175 = 4900,

    
     v <= sqrt%284900%29 = 70 ft/s.    ANSWER