Physics

There is a parabolic position vs time graph.

Which of these is true:

The object moves

1. in a parabolic trajectory.
2. along a straight line.
3. along an arc of a circle

wouldn't 1 and 3 produce the same/similar position graph?

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1. No, #1 and #3 would be different trajectories. Note that they are asking about position vs. time, not about the shape of the trajectory

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2. So in which one would the graph of position vs time be a parabola?

If the object moves along a straight line, then wouldn't the position graph just be an increasing line with with positive slope?

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3. If position vs time is a parabolca, the object is accelerating at a constant rate along a straight line.

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