How far has the car moved during the braking period? (physics)

Question

A driver of a car traveling at 14.3 m/s applies the brakes, causing a uniform acceleration of -2.6 m/s2 , and reaches a final speed of 8.4 m/s? How far has the car moved during the braking period?

Answer 1

Use the kinematic relation

 

d = (v_f² - v_i²)/(2a) = [(8.4)² - (14.3)²]/[2(-2.6)] m = 27.76 m