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Math Help - Speed time-graph

  1. #1
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    Speed time-graph

    Hi,
    I need help with a speed-time graph problem. The problem is: Create a corresponding speed-time graph for each distance time graph given.
    Graph given below. Someone please help thanks in advance if you do reply with help

    Speed time-graph-capture.jpg
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  2. #2
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    Re: Speed time-graph

    As I can see it , there are 4 straight lines. So here is what i suggest :-
    Write the equations to each of these 4 lines. So you have 4 equations f(x,t) (x- distance and t - time)
    now for each find dx/dt .
    So now you have the velocity function (v=dx/dt) with the corresponding time limits, for example the first line goes from t=0 to t=15
    Plot the 4 velocity functions accordingly.
    Hope that helps !
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  3. #3
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    Re: Speed time-graph

    For the period 0-15 sec
    V=(25-10)/15, V=1m/sec
    For the period 15-25 sec or for this 10 sec
    V=(65-25)/10= 4, V=4m/sec
    For the period 25-30 sec , there is no change in displacement hence, V=0
    For the period 30-40 sec
    V=(65-0)/10, V= 6.5m/sec

    Now draw the V and t coordinate axes
    and plot these points.....you have the answer
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