Question

The stopping distance of a car can be approximated using the formula d=0.05v² + 2v , where d= the stopping distance in feet and v=1 the speed of the car in miles per hour. What is the approximate stopping distance of a car going 55 miles per hour?

A. 110
B. 150
C. 260
D. 300

Answer 1

The approximate stopping distance for a car going 55 miles per hour, calculated using the formula d = 0.05v² + 2v, is about 261.25 feet. This value is rounded to 260 feet, corresponding to option C.

Step-by-step explanation:

The student asked how to calculate the approximate stopping distance of a car going at a speed of 55 miles per hour using the formula d = 0.05v² + 2v, where d is the stopping distance in feet and v is the speed of the car in miles per hour. To find the stopping distance, we will substitute v with 55 and calculate:

• d = 0.05(55)² + 2(55)
• d = 0.05(3025) + 110
• d = 151.25 + 110
• d = 261.25 feet

Therefore, the approximate stopping distance for a car traveling at 55 mph is about 261.25 feet, which we can round to 260 feet for an answer choice, which is option C.