Sam is recklessly driving 60 mph in a 30 mph speed zone when he suddenly sees the police. he steps on the brakes and slows to 30 mph in three seconds, looking nonchalant as he passes the officer. how far does he travel while braking?

For this problem, we use the derived equations for rectilinear motion at constant acceleration. The equations used for this problem are:

a = (v - v₀) / t

2ax = v² - v₀²

where

a is the acceleration

x is the distance

v is the final velocity

v₀ is the initial velocity

t is the time

The solution is as follows;

a = (60mph - 30 mph) / (3 s * 1 h/3600 s)

a = 36,000 mph²

2 (36,000 mph²) (x) = 60² - 30²

Solving for x,

x = 0.0375 miles