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Android Game Development: Conflict Detection

I am currently developing a game for Android, and I would like your experience on the problem that I had.

Background:

  • My game includes a motion independent of the frame rate, which takes into account the value of the delta time before performing the necessary speed calculations.

  • The game is a traditional 2D platformer.

Problem:

Here is my question (simplified). Let it pretend that my character is a square standing on top of the platform (in this case, “gravity” is the constant downward speed of the VelocityDown symbol).

I defined collision detection as follows (assuming the Y axis is down):

Given characterFootY is the y-coordinate of the base of my square character, platformSurfaceY is the top y-coordinate of my platform and platformBaseY strong> is the bottom y-coordinate of my platform:

  if (characterFootY + characterVelocityDown > platformSurfaceY && characterFootY + characterDy < platformBaseY) {

                    //Collision Is True
                    characterFootY = platformSurfaceY;
                    characterVelocityDown = 0;

                } else{ 
                    characterVelocityDown = deltaTime * 6;

This approach works great when the game runs at normal speed; however, if the game slows down, deltaTime (elapsed time between the previous frame and the current frame) becomes large and characterFootY + characterVelocityDown exceeds the boundaries that determine the collision detection, and the character simply falls straight (as if teleporting).

How can I approach this problem to prevent this?

Thank you in advance for your help, and I look forward to learning from you!

+5
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const float PHYSICS_TICK = 1/60.f; // 60 FPS
void Update( float dt )
{
    m_dt += dt;
    while( m_dt > PHYSICS_TICK )
    {
        UpdatePhysics( PHYSICS_TICK );
        m_dt -= PHYSICS_TICK;
    }
}

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