Two straight lines drawn on the same velocity-time graph make anles ` 30^(@)` and `60^(@)` with time axis respectively, as shown in Fig. 2 (b) 1. 27. Which line represents greater acceleration ? What is the ration of the two accelerations ?
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Explanation

Slope of velocity-time graph=acceleration of the object.
As slope of line ` OB gt` slope of line ` OA`. Thereforem, the line ` OB` making an angle ` 60^(@)` whith time axis represents greates velocity than the line ` OA` making an angle ` 30&(@)` with time axis. Ratio of the two accelerations
` a_(A) /a_(B) =(tan 30^(@))/(tan 60^(@)) = (1 //sqrt 3)/(sqrt 3) =1/2 =1 : 3.