Recent content by agnimusayoti

  1. agnimusayoti

    What is the mathematical model for a traffic shock wave?

    I don't really understand what do you mean by linear movement of a structural relationship of parts of the medium relative to the medium. But, yes I know that the 2 snapshots is different in the form. The difference is caused by the movement of the vibration or the disturbance of the medium...
  2. agnimusayoti

    What is the mathematical model for a traffic shock wave?

    Did the idea come from this definition?
  3. agnimusayoti

    What is the mathematical model for a traffic shock wave?

    Now I understand. So, shock wave basically is the rate of the tail shifting in the low speed queue? Therefore, we have: $$v_w \frac{d}{v-v_s} = d\frac{v_s}{v-v_s} - L$$ But, because the value of ##\frac{v_s}{v-v_s}## equal to 0,25 then ##0,25d## must be bigger than L if we want to produce...
  4. agnimusayoti

    What is the mathematical model for a traffic shock wave?

    The change in position of the tail of the queue then ##x_{B}(t_{q}) - x_{A}(0)##? So, we have: $$x_{B}(t_{q}) - x_{A}(0) = d(\frac{v}{v - v_s} - 1) - L$$?
  5. agnimusayoti

    What is the mathematical model for a traffic shock wave?

    At the time B enter the queue, that is ##t = t_{q}## then $$t_{q}=\frac{d}{(v-v_{s})}$$ Therefore, $$x_{A}(0) = L+d$$ $$x_{B}(t_{q}) = v(\frac{d}{(v-v_{s})})$$ Is it correct?
  6. agnimusayoti

    What is the mathematical model for a traffic shock wave?

    So the tail of the queue moved forward with distance L, with the velocity vs?
  7. agnimusayoti

    What is the mathematical model for a traffic shock wave?

    Well, I think when B is distance L behind A, so the tail of the queue is ##x_{B}(t)## or when ##x_{B}(t) = x_{A}(0)##? Is this correct?
  8. agnimusayoti

    What is the mathematical model for a traffic shock wave?

    Yes, I take (0,0) at B at t = 0. So at instance time, t, I get the A dan B position . Or, $$x_{A}(0) = L + d$$ $$x_{B}(0) = 0 $$ Therefore, $$x_{A}(t) - x_{B}(t) = x_{A}(0) - x_{B}(0)+ v_{s}t - v(t)$$ $$x_{A}(t) - x_{B}(t) = L+d+(v_{s} - v)t$$ Then, The condition that B starts geting in the...
  9. agnimusayoti

    What is the mathematical model for a traffic shock wave?

    Not really. I do not only want the solution, but also the understanding of the idea of how to solve the problem.. Well, does B will join the slow queue if $$x_{B} - x_{A} = L$$ Since ##x_{A} = (L+d) + v_{s}(t)## and ##x_{B} = vt## then ##t(v-v_{s})=d## But, how long, or what is the time...
  10. agnimusayoti

    Car traffic producing shock wave

    Hey! Actually I am facing with some problem. Before I read this thread, I thought that this would be done with equation of fast and slow car position. But, after I read this thread, I am pretty interested. Could anyone please help me to use this guidance? thanks!
  11. agnimusayoti

    What is the mathematical model for a traffic shock wave?

    This was a Halliday Resnick Problem on the linear motion. I could have see the solution but I was not satisfied because I have not get the idea behind the solution. Could you please help me to explain what is exactly the problem is? Or, how to model the shock wave? So that I can make the...
  12. agnimusayoti

    B Understanding Average Velocity in Linear Motion with Constant Acceleration

    I read Tipler's book: Physics for Scientists and Engineer and he derived the equation of motion for linear motion with constant acceleration algebraic. He stated that for linear motion with constant acceleration, the average velocity can be determined with mean value of initial and final...
  13. agnimusayoti

    Average Separation between molecules in hydrogen at STP (Alonso Finn Problem)

    Well, it is more confusing because there are 2 different answer depend on how I placed the molecules in the smaller cube. Which one is true regarding the separation of 8 molecules in 1 ##m^{3}## cube? Is it 0.5 m or 1 m? Or both is true?? From the post it seems 1 m is true the molecules...
  14. agnimusayoti

    Average Separation between molecules in hydrogen at STP (Alonso Finn Problem)

    Yeah, but I came with the different answer (see my #4 post) that is ##(1/8)^{\frac{1}{3}} = 0.5##. Actually, I begin with 1 m apart of molecules.
  15. agnimusayoti

    Average Separation between molecules in hydrogen at STP (Alonso Finn Problem)

    Hmm, could you refer a link or website that supply the image or drawing of this explanation?
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