Compute all parts of following problem gibe below:
Problem: According to recent typical test data, a Ford Focus travels 0.280mi in 19.9s , starting from rest. The same car, when braking from 63.0mph on dry pavement, stops in 140ft. Assume constant acceleration in each part of its motion, but not necessarily the same acceleration when slowing down as when speeding up.
Part I: Find the magnitude of this car's acceleration while braking.
Part II: If its acceleration is constant while speeding up, how fast (in mph) will the car be traveling after 0.280mi of acceleration?
Part III: How long does it take the car to stop while braking from 63.0mph?
Please show your work, so I can understand process. Thanks!