Answer
Sam travels 0.0375 miles while breaking.
Work Step by Step
Use the equations:
a = (v - v₀)/t and 2ad = v² - v₀²
a is the acceleration
d is the displacement
v is the final velocity
v₀ is the initial velocity
t is the time
a = (60mi/h - 30 mi/h)/(3 s * 1 h/3600 s) = (30 mi/h)/(0.000833h)
a = 36,000 mi/h²
2(36,000 mi/h²)(d) = 60² - 30²
x = 0.0375 miles
