Implementing a collision in 2D platform game ( Icy Tower ) - c++

Question

I'm fighting with this for like few days, and I have no idea, how to do that, so I'd like to ask you for help. I've got no idea how collision should look like right here, so player could jump through 'down zone' of the block, and stay right on the block.
block.cpp
bool block::CollidingWithPlayer(character& player) {
for (int i = 1; i < MAX_BLOCKS; i++) {
if (player.x + player.width >= coordinateX[i] && player.x <= coordinateX[i] + width[i] && player.y + player.height >= coordinateY[i] && player.y <= coordinateY[i] + block_height) {
player.onGround = true;
return true;
}
}
}
character.cpp
void character::startJump(map& Map, character& player) {
if (onGround)
{
vel[1] = -11.0;
onGround = false;
}
}
void character::updateJump(block& Block, character& player) {
if (!onGround) {
Block.CollidingWithPlayer(player);
vel[1] += 0.5;
y += vel[1];
x += vel[0];
}
if (y > 460){
y = 460;
vel[1] = 0.0;
onGround = true;
vel[0] = 0.0;
}
if ((x + width >= START_OF_RIGHT_WALL && x <= WALL_WIDTH + START_OF_RIGHT_WALL) || (x + width >= START_OF_LEFT_WALL &&x <= START_OF_LEFT_WALL + WALL_WIDTH)){
vel[0] *= -1;
bound = true;
if (direction == 1)
direction = 2;
else if (direction == 2)
direction = 1;
}
}