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The displacement time graphs of two particles A and B are straight lines making angles of respectively 30º and 60º with the time axis. If the velocity of A is vA and that of B is vB then the value of  is
  • a)
    1/2 
  • b)
     
  • c)
      
  • d)
    1/3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The displacement time graphs of two particles A and B are straight lin...
For some point of time say time t, the velocities of A and B would be va  and vb respectively.
Hence we see that for both the graphs we get va/t = tan 30 and vb/t = tan 60
Thus we get the required ratio as tan 30 / tan 60 = ⅓ 
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Most Upvoted Answer
The displacement time graphs of two particles A and B are straight lin...
We know that slope of displacement time graph is velocity also slope = tanx so Va= tan30=1/√3 Vb=tan60=√3 so Va/Vb= 1/ √3/√3 = 1/3. ans
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Community Answer
The displacement time graphs of two particles A and B are straight lin...
For some point of time say time t, the velocities of A and B would be va  and vb respectively.
Hence we see that for both the graphs we get va/t = tan 30 and vb/t = tan 60
Thus we get the required ratio as tan 30 / tan 60 = ⅓ 
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The displacement time graphs of two particles A and B are straight lines making angles of respectively 30º and 60º with the time axis. If the velocity of A is vAand that of B is vBthen the value ofisa)1/2b)c)d)1/3Correct answer is option 'D'. Can you explain this answer?
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