Obviously, the object is point D (the steepest slope). C). At points A and C (the slope at these points is zero).

At what point S does the object accelerate?

That is, if the line gets further and further away from the x-axis ( 0-speed point), the object is accelerating. Conversely, if the line is close to the x-axis, the object is decelerating.

Are A and B the same speed?

Are the velocities of objects A and B the same? … no numbersbut your graph should correctly indicate relative velocities.

Brachistochrone Problem – Think you know which slope is the fastest?

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