When you throw a football to someone you wont think about physics but physics is happening everywhere. You will make adjustments for everything before you throw the ball. You will make adjustments to your head for factors like how hard you have to throw it or the angle you have to throw it depending on how far away your target is. This is all physics but you dont realize it because you do it naturally in your head.
Whenever you throw a football there will always be a parabolic path because the movement of the ball in the virticle direction is influenced by gravity. As a football travels up, gravity will slow it down until it reaches its peak, then it will stop briefly at that peak. Then the ball will start its acceleration back to the ground because of gravity. This path the football takes is called its projectile motion and here is a picture of what it looks like.
Some equations you can use for situations like this are