Question

give an example of motion in which acceleration is in the direction of motion of an object

Answer 1

Example: Circular motion  --  A ball is tied to a string and whirled in a circular path 

In this case, the direction of acceleration is always towards the centre of circular path (radially inward) and the direction of velocity (motion) is tangential to the circle at the given point

Answer 2

Example - Circular motion : A ball is tied to a string and whirled in a circular path