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What can be said about a space curve with constant acceleration?

What can be said about a space curve with constant acceleration?

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Answer #1

The curvatuve of a space curve is always greater than or equal to 0.

All three components functions of a space curve are quadratic functions. Then the image of is contained in a plane.

The space curve

Then the acceleration function

The acceleration is , then even though the speed is a constant.

The acceleration measures both the change of direction of the velocity and the change of speed.

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