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Motion with constant velocity is motion without acceleration. That is, there is no force being applied to the object in motion. One could argue that the acceleration is constant in that case, but the constant value is zero.

Now, general relativity tells us that gravity and acceleration are indistinguishable from each other for a point mass being affected by either (meaning that if you're accelerating, you cannot tell just by the effect of the force whether it's due to an actual force, F=ma, or another massive object causing gravitational attraction). So in some ways, one could argue that the force of gravity is identical to constant acceleration. The difference is that gravity is caused by the presence of mass which "warps" space-time, so the acceleration felt is actually caused not by a force acting directly on the object, but the object is moving at a "constant velocity" in the equivalent flat (non-warped) space-time, and due to the presence of another mass causing a gravitational attraction, acceleration is felt.

Think of it as standing on the center of a mattress. Your weight causes the middle of the mattress to push down, and if you had something like a Basketball sitting in the corner of the mattress, it would begin rolling toward you. In that example, the mattress is space-time, the basketball the body in motion, and you the mass causing gravitational attraction.

In that sense, since the object would be moving at a constant velocity in a flat space-time (like the ball sitting still on the mattress), warping space-time does not apply a true force to the ball, the causes it to appear to accelerate nonetheless. This appearance is due not to a force acting directly on the ball, but acting on the space-time in which it inhabits.

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Is motion with constant velocity an example of motion with constant acceleration?

Well, technically yes, and we even know the magnitude of the constant acceleration.If velocity is constant, that tells you that acceleration is zero, which sounds likea constant to us.


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