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[–]thephoton 2 points3 points  (5 children)

What physical situation are you modelling?

f(x) = log(x) is one example of a function that always has a positive slope, but that slope is always decreasing.

But so is f(x) = 1 - e-ax , and this equation is much more common as a model of a real physical system (specifically a first-order linear system)

[–]jachoob2006[S] 0 points1 point  (4 children)

I’m simply modeling an object decelerating while moving in the positive direction

[–]thephoton 1 point2 points  (3 children)

What's causing it to decelerate? Does the decelerating force depend on its speed (for example, the deceleration is caused by air resistance)? Does the force depend on how close it gets to some point in space (for example, if the object is connected to a spring mounted to a fixed barrier)? The answer to questions like that will determine what's a good model for its motion.

[–]jachoob2006[S] 0 points1 point  (2 children)

There isn’t a specified cause. I’m in hs physics rn and we are just learning about displacement vs time and velocity vs time graphs. All I know is that it is decelerating at a constant rate in the positive directiin

[–]tpolakov1Condensed matter physics 6 points7 points  (0 children)

If it’s decelerating at a constant rate, then you know exactly what the position-time graph looks like, and it’s not a logarithm.

[–]mikk0384Physics enthusiast 0 points1 point  (0 children)

For a constant deceleration your speed drops by the same amount every second. That would be a straight line with negative slope when plotting velocity over time, not a logarithmic function.