Final answer:
The football's velocity changes three times as it is kicked by different players and the goalkeeper. The force in each case is applied by the player who is interacting with the ball.
Step-by-step explanation:
In the described scenario, the velocity of the football changes three times. The first change occurs when a football player kicks the ball to another player. The second change happens when the other player kicks the ball towards the goal, and the third velocity change occurs when the goalkeeper collects and kicks the ball towards a teammate. In each instance, the agent applying the force is the player who kicks or collects the ball with the force supplied by their muscles resulting from the contraction in combination with a lever action of the leg.