According to recent typical test data, a Ford Focus travels 0.260 mi in 19.9 s, starting from rest. The same car, when braking from 59.5 mph on dry pavement, stops in 146 ft. Assume constant acceleration in each part of its motion, but not necessarily the same acceleration when slowing down as when speeding up.
a. Find the magnitude of this car's acceleration while braking.
(Express your answer in feet per second squared.)
b. Find the magnitude of this car's acceleration while speeding up.
(Express your answer in feet per second squared.)
c. If its acceleration is constant while speeding up, how fast (in mi/h) will the car be traveling after 0.260 mi of acceleration?
(Express your answer in miles per hour.)
d. How long does it take the car to stop while braking from 59.5 mph?
(Express your answer in seconds.)