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## Homework Statement

Three different cars (a red one, a blue one and a green one) are driving with an identical velocity. Suddenly they all slam on the brakes and skid to a stop. The red car is the most massive and the blue one is the least massive. Each of the three cars has identical tires. Which car travels the longest distance while stopping?

## Homework Equations

W=F*dcos(theta), F=m*a

## The Attempt at a Solution

My reasoning is that since F=ma, W=m*a*d*cos(theta), so rearranging for d, I get

d=W/(ma*cos(theta)

So greater the mass, the lower the distance. So I guess since m and d are inversely proportional to one another, the blue car (the least massive) travels the longest distance.

Sorry I just want to double check, I managed to get a practice midterm, but with no solutions so I just want to see if my method is correct.