Projectile Motion

Once the ball leaves the throwers hand, it becomes a projectile. The ball is initially thrown at an angle of 30º above the horizontal, and therefore the ball starts to rise. Since the ball still has gravity acting upon it, acceleration due to gravity is noteable. At a certain point it will lose all upwards (positive) velocity and start to gain downward (negative) velocity, which means the football will start to fall. The path of the football shown forms an arc. At the top of the arc, the ball has a vertical velocity of 0 m/s, which means that it's only motion is horizontal. After that point, the ball is falling. IFirst, we must use the equation involving displacement, initial velocity and final velocity, and acceleration. With this, we can find the maximum height:

After finding the displacemnt (1.3m) you must add that number to the height of the thrower which is 1.6 m to find the maximum height of the football.

Therefore the maximum height of the football is 2.9m.

Projectile motion of a football that has been thrown.