An object rotates with an angular speed that varies with time, as shown in the graph. How can the graph be used to determine the magnitude of the angular acceleration α of the object? Justify your selection.


Subtract the greatest value of the angular speed from the smallest value of the angular speed, because α=Δω.

Subtract the greatest value of the angular speed from the smallest value of the angular speed, because a equals delta omega .

Determine the slope of the line from 0s to 2s, because the slope represents ΔωΔt.

Determine the slope of the line from 0 second to 2 seconds , because the slope represents the fraction delta omega over delta t .

Determine the area bounded by the line and the horizontal axis from 0s to 2s, because α=12ωΔt.

Determine the area bounded by the line and the horizontal axis from 0 second to 2 seconds , because alpha equals one half omega delta t .

The angular acceleration cannot be determined without knowing the rotational inertia of the object.