# A car with good tire tread can stop in less distance than a car with poor tread. The formula for the stopping distance d, in feet, of a car with good tread on dry cement is approximated byd = 0.04v2 + 0.5v,where v is the speed of the car. If the driver must be able to stop within 59 ft, what is the maximum safe speed, to the nearest mile per hour, of the car?mph

Question
22 views

A car with good tire tread can stop in less distance than a car with poor tread. The formula for the stopping distance d, in feet, of a car with good tread on dry cement is approximated by

d = 0.04v2 + 0.5v,

where v is the speed of the car. If the driver must be able to stop within 59 ft, what is the maximum safe speed, to the nearest mile per hour, of the car?
mph

check_circle

Step 1

Given:

The formula for the stopping distance d, in feet, of a car is d = 0.04v2 + 0.5v, where v is the speed of the car.

Step 2

If the driver must be able to stop within 59 ft, then the maximum safe speed would be

Step 3

Multiply the above equation by 100...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

### Applications of Mathematics 