A soccer ball is kicked at 25 m/s at a 22-degree angle and strikes the crossbar at a height of 2.5 m. To find the origin of the kick, the velocity vector must be resolved into its x and y components. The positive y displacement of 2.5 m can be analyzed using the equation 2.5 = vy(t) + 0.5a(t^2), where vy is the initial vertical velocity and a is the acceleration due to gravity. Solving for time (t) using the quadratic formula is necessary, after which the distance traveled in the x-direction can be calculated with the equation distance = vx(t). This method allows for determining the initial position from which the soccer ball was kicked.