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 ?
 
 
                                                  

Asked by Hrishikesh marathe | 13th 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

Answered by Yashvanti Jain | 14th Jun, 2016, 10:49: AM

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