Is it possible for an object (i) to be slowing down while its acceleration is increasing in magnitude? (ii) to be speeding up while its acceleration decreasing? In each case, explain you reasoning.
The acceleration of an object refers to the change of velocity at a certain rate including both slowing down and speeding up.
(i) So it is possible for the object to be slowing down while its acceleration is increasing in magnitude. In such a case, the object suffers an extreme deceleration and comes to rest rapidly.
(ii) It is also possible for the object to be speeding up while its acceleration is decreasing. In such a case, the acceleration goes on decreasing to become zero and finally the...