Part one:
you are driving at the speed of 26.3 m/s
(58.844 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 skidding. considering an average human reaction,
you press your brakes 0.519 s later. you also
brake and decelerate as rapidly as possible
without skidding. assume that the coefficient
of static friction is 0.811 between both cars’
wheels and the road.
the acceleration of gravity is 9.8 m/s
calculate the acceleration of the car in front
of you when it brakes.
answer in units of m/s^2.

part two: calculate the braking distance for the car in
front of you.
answer in units of m.

part three:
find the minimum safe distance at which you
can follow the car in front of you and avoid
hitting it (in the case of emergency braking
described here).
answer in units of m