You are driving at the speed of 25.8 m/s
(57.7253 mph) when suddenly the car in
front of you (previously traveling at the same
speed) brakes and begins to slow down with
the largest deceleration possible without skid-
ding. Considering an average human reaction,
you press your brakes 0.434 s later. You also
brake and decelerate as rapidly as possible
without skidding. Assume that the coefficient
of static friction is 0.948 between both cars'
wheels and the road.
The acceleration of gravity is 9.8 m/s².
Calculate the acceleration of the car in front
of you when it brakes.
Answer in units of m/s².