How to implement acceleration in the game?

Question

Unity

you need to implement such physics, the character runs, when the user starts tapping on the screen, the character accelerates, but
the speed does not depend on the number of clicks, you need to keep the balance of the number of clicks (scale), when there are too many clicks, the speed starts to fall. what do you advise?

Answer 1

I haven’t written on unreal yet, so pseudocode:

void update(unsigned dt) {
    if(tapSpeed >= minTapSpeed && tapSpeed <= maxTapSpeed)
        playerSpeed += dt * k1;
    else
        playerSpeed -= dt * k2;
    tapSpeed -= dt * k3;
}

void onTap() {
    tapSpeed += k4;
}