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Math Help - velocity-time curve problem

  1. #1
    Member srirahulan's Avatar
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    Lightbulb velocity-time curve problem

    A train start to move from rest and then travel its first part with constant acceleration of f_1then travel the second part of the constant velocity of V then travel the third part of the constant deceleration of f_2 then it comes to rest.So draw a velocity - time curve and it travel constant velocity with the \frac{4}{3}t of the total time and the average speed of the total travelling is KV.so find out the value of k? so please give me the ideas to do that.
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  2. #2
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    Re: velocity-time curve problem

    Quote Originally Posted by srirahulan View Post
    A train start to move from rest and then travel its first part with constant acceleration of f_1then travel the second part of the constant velocity of V then travel the third part of the constant deceleration of f_2 then it comes to rest.So draw a velocity - time curve and it travel constant velocity with the \frac{4}{3}t of the total time and the average speed of the total travelling is KV.so find out the value of k? so please give me the ideas to do that.
    At constant acceleration f_1, after time t, the speed will be f_1t. You say "the first part" but you don't say what the time is or if "the first part" is the same length of the time as the other "parts". The graph of that is a straight line with slope f_1. Calling the length of time for the first part " T_1", the velocity at the end of the first part will be f_1T_1 which, presumably, is the constant speed of the "second part". Taking the length of time for the "second part" " T_2, the second part of the graph is a horizontal straight line with height V, from T_1 to T_2. The third part of the graph will be a straight line with slope -f_1. Of course, the train will stop after time interval T_2 where V- f_3T_3- T_2)= 0

    I don't uderstand what the "it travel constant velocity with the \frac{4}{3}t of the total time" means. You did not mention "t" before and 4/3 is larger than 1.
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  3. #3
    Member srirahulan's Avatar
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    Re: velocity-time curve problem

    I am really sorry i assume the total time for travelling is t.when it travel in the constant velocity of V with 3/4t of the total time (sorry for mention 4/3)
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