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Q: How can you use the graph of velocity versus time to estimate the acceleration of the ball?

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The slope of a velocity versus time graph is the acceleration.

The slope of a velocity-versus-time graph represents the acceleration of the object.

It shows acceleration.

Yes, acceleration is the slope of a velocity versus time graph.

The rate of Change in acceleration.

When there is no acceleration or when there is constant acceleration. When either of these cases is present, the graph of velocity versus time will be linear. When there is linear velocity, the average velocity will equal the instantaneous velocity at any point on the graph.

Note that the graph can't show velocity, only speed. The slope of the graph is the magnitude of acceleration. The area under the graph is distance covered.

Zero acceleration and constant velocity describe this.

A position time graph can show you velocity. As time changes, so does position, and the velocity of the object can be determined. For a speed time graph, you can derive acceleration. As time changes, so does velocity, and the acceleration of the object can be determined.If you are plotting velocity (speed) versus time, the slope is the acceleration.

The slope of the speed/time graph is the magnitude of acceleration. (It's very difficult to draw a graph of velocity, unless the direction is constant.)

It tells you that the velocity of the body is not constant. There is acceleration or deceleration.

Assuming the graph is for displacement versus time, the motion should be constant velocity. If velocity versus time motion is constant acceleration

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