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Two straight lines drawn on the same dis...

Two straight lines drawn on the same displacement-time graph make anles `30^(@)` and`60^(@)` with time-axis respectiv ely Fig. 2 (a) .36, Which line repersents greater veloc ity ? What is the ratio of two velocities?
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Text Solution

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Since the slpe of the displacement-time graph of uniform motion in one dimension represents the velocity of the object, hence the line showing grearer slope in graph corresponds to greater velocity of the object. Therfore the line making angle `60^(@)` with time axis represents greater velocity:
Ratio of two velocities ,
`= v_(A)/v_(B) = (tan 30^(@))/(tan 60^(@)) = (1 //sqrt 3)/(sqrt3 ) = 1/2`/
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