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CBSE Class 8 Answered

<div>the displacement - time graphs for the particles A and B are straight lines inclined at angle of 30 degree and 60 degree with the time axis as shown in figure. what will be the ratio of the velocities Va:Vb ?</div> <div>&nbsp;</div> <div>&nbsp;</div> <div>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp; &nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <img src="data:image/png;base64,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" alt="" /></div>
Asked by Hrishikesh marathe | 13 Jun, 2016, 05:09: PM
Expert Answer
The slope of the distance–time graph gives the speed of the object.

begin mathsize 12px style For space the space particle space straight A comma space the space slope space of space the space line space is space tanθ subscript 1 equals tan space 30 equals fraction numerator 1 over denominator square root of 3 space end root end fraction
For space the space particle space straight B comma space the space slope space of space the space line space is space tanθ subscript 2 equals tan space 60 equals square root of 3
Thus comma space ratio space of space the space velocities comma space straight V subscript straight A over straight V subscript straight B equals fraction numerator tan space 30 over denominator tan space 60 end fraction equals fraction numerator bevelled fraction numerator 1 over denominator square root of 3 end fraction over denominator square root of 3 end fraction equals 1 third
end style
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