True or false velocity physics question double check

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The discussion centers on verifying answers related to an object's motion along the x-axis, where it is stationary at x = 5.2 m with an acceleration of -2.3 m/s². The first derivative of the position vs. time graph is correctly identified as zero, indicating the object is motionless. The second derivative, representing acceleration, is confirmed to be non-zero, affirming the object is accelerating negatively. The slope of the velocity vs. time graph is negative, indicating the object is about to move backwards, while it is incorrect to say it will move forwards. Overall, the participant seeks confirmation on their understanding of the physics concepts involved.
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So I just want to make sure I have the correct answers before I submit my question. So could anyone please just double check my answers?

Thanks

An object moves in one dimension along the x-axis. At some instant in time, the object is located at x = 5.2 m, is motionless, and has an instantaneous acceleration of -2.3 m/s2. What must be true about this object at this instant in time? (Select all that apply.)
The first derivative of a position vs. time graph at this point is zero. False
The second derivative of a position vs. time graph at this point is zero. True
The slope of a velocity vs. time graph at this point is positive. False
The slope of a velocity vs. time graph at this point is negative. True
The object is just about to start moving backwards. True
The object is just about to start moving forwards. False

Again, I just want to make sure these are right. I'm not sure if I am completely correct.
 
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1. True. Because motionless means not moving means velocity is zero means first derivative of position towards time (ie velocity) is zero.
 
2. False. The second derivative of position towards time means acceleration. at this point, the acceleration is not zero because it is given to you as -2.3 m/s^2.
 
Thanks, Leong. I was actually a bit unsure about the first two. I wrote the equations out but some how had a feeling that I wasn't doing something right.
 
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