The position of an object is given by 𝓍 = At + Bt², where 𝓍 is in meters and t is in seconds.                                                                                                         
                                                                                                                                                                                          
(b) What is the acceleration as a function of time?"

A sports car moving at constant velocity travels 120 m in 5.0 s. If it then brakes and comes to a stop in 3.7 s, what is the magnitude of its acceleration (assumed constant) in m/s², and in g's (g = 9.80 m/s²) ?

The brakes of your car can provide an acceleration of 4.6m/s². You're speeding at 37.5 m/s and suddenly see a police car, so you slam the brakes. How long will it take for your car to slow down to the speed limit of 25 m/s?

Starting from rest, a car accelerated to 20m/s in 4s. What was the magnitude of the car's constant acceleration?