Question

A rigid ball rolls without slipping on a surface shown below:

Which one of the following is the most likely representation of the distance travelled by the ball versus time graph?

Answer 1

Answer is : (d)

As ball moves from point A to point D,

Velocity of ball increases rapidly in region BC. Then, from C to D, it moves with a constant velocity. So, graph is parabolic in region BC and slope of AB is less than slope of CD, as shown below.

Note Velocity change is not very abrupt.