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This equation should be good for your purposes: vf^2 = vi^2 + 2ad The final velocity will obviously be zero, so then you just solve this equation for d: vi^2 + 2ad = 0, plugging in the object's current velocity and deceleration constant. Once you have the value for d, add this to the object's current position. That is the x endpoint.


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You can use $$ x = x_{0} + v_{0}t - \frac{1}{2}kt² $$ where k is the magnitude of your deceleration constant. Of course, you will need to choose the time that's associated with such x endpoint. Instead, if you want to know where is the maximum x the particle will go after being decelerated until its speed goes to 0, you can use Torricelli's formula: $$ v^{...


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