Question

Rank these graphs on the basis of the angular acceleration of the object. Rank positive angular accelerations as larger than negative angular accelerations. Please refer to the document below.

Answer 1

The ratio of change in angular position to change in time is defined as the angular velocity. Thus, the slope of an angular position versus time graph gives the angular velocity of the object being graphed.
The rank of the given graphs can be written as follow,positive graphs are listed first.
The line B is the line with the greater positive slope.
The line B is the line with  positive slope but is less than the slope of line B.
The lines A,t ,and F are the lines with the zero slope.
The lines D and E are parallel to each other and have same negative slope.