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If a position versus time graph is parabolic, then:

  • Speed versus time is a straight line.
  • Acceleration (magnitude) vs time is a horizontal line, so the acceleration is constant.

The graph of height/time for a stone or a Baseball

tossed upward is an inverted parabola.

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The shape of a position versus time graph is parabolic when the object is undergoing constant acceleration. This acceleration results in a quadratic relationship between position and time, forming a parabolic curve.

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Q: When is the shape of an position versus time graph parabolic?
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