[SOLVED] Calculate uniformly accelerated entity motion

Hi i want to calculate time and distance of entity. (i know initial motion, and friction)
@SOFe already tried to help me but he probably didn't understand me

PHP:

while (abs($motionX) > 0.1) {
    $x += $motionX;
    $motionX *= 0.98;
    $timeX++;
}


i used this to calculate it but its bad method..
So initial motion is motionX and final motion is 0.1

i would like to calculate time, how long it takes than entity motion will be 0.1 and how long path travel in this time.

 

is it right?

PHP:

$timeX = log(($friction * $finalSpeed) / abs($motionX)) / log($friction);
$distanceX = $motionX * ((1 - ($friction ** $timeX)) / (1 - $friction));

 

OK solved probably

 

What was the soloution?
Others with the same question will not be able to get help by using this thread...

 

my calculation