Question

The graph shows distance versus time for an object.

Which of the following correctly describes the object's motion?
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1 point
Captionless Image
The object is moving with increasing acceleration.
The object is moving with constant acceleration.
The object is moving with increasing velocity.
The object is moving with constant velocity.

Answer 1

I can't see the image — could you upload it or describe the shape (straight line, curved up, curved up getting steeper faster, etc.)?

Meanwhile, how to choose the correct option from the graph:

- Slope of a distance–time graph = velocity.
- If the slope is constant (straight line) → constant velocity.
- If the slope increases (graph gets steeper) → velocity is increasing.
- If the slope increases at a constant rate (parabolic curve, constant curvature) → constant acceleration.
- If the slope increases at a changing rate (curvature itself increases) → acceleration is increasing.

So:
- Straight line → "The object is moving with constant velocity."
- Smooth parabola (concave up with constant steepening) → "The object is moving with constant acceleration."
- Concave up with steepening rate increasing → "The object is moving with increasing acceleration."
- Any curve that gets steadily steeper (concave up) → at least "increasing velocity."