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Thread: particle accelerating

  1. #1
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    particle accelerating

    a train accelerates uniformly from rest to a speed v m/s with uniform acceleration a m/s^2 it then decelerates uniformly to rest with uniform retardation 3a m/s^2. the total distance travelled is s metres. if the average speed for the whole journey is square root (s/2) find the value of a. does anyone know how to work this out using uvast equations
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  2. #2
    Forum Admin topsquark's Avatar
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    Re: particle accelerating

    What have you been able to do so far?

    -Dan
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  3. #3
    Senior Member zzephod's Avatar
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    Re: particle accelerating

    I would not use the uvast equations.

    Plot a velocity time graph - it is a triangle. The distance traveled is the area of the triangle. The time of the journey is the value on the horizontal axis where the second leg crosses the axis.
    The avaerage speed is the distanced traveled divided by the time taken.

    See the attached diagram
    particle accelerating-distance-time.png
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