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Mechanics/Kinematic Calculus

  1. Jun 15, 2016 #1
    A particle P moves on the x-axis. At time t seconds the velocity of P is V m/s in the direction of x increasing?o
    V is given by V={8t-3/2t²} for 0≤t≤4
    Also V={16-2t} for t>4

    Why does the acceleration have to equal zero to get the greatest speed of P in interval 0≤t≤4
     
  2. jcsd
  3. Jun 15, 2016 #2

    Dale

    Staff: Mentor

    This is probably best understood by plotting the velocity. Look at the maximum, and see what the slope is visually.
     
  4. Jun 16, 2016 #3
    Plot v-t curve for t<4.It would be a parabola open downward.Velocity is maximum at maxima of the curve.Maybe now you can understand why acceleration would be zero.
     
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