In a penalty kick in football, the ball is kicked from the penalty area. The target has the dimensions 7.3 m wide, and 2.44 m high. Here we only look at kicks in the x- and y-direction and ignore movement in the z-direction (relative to the coordinate system in Figure 2). We also ignore air resistance. The ball has a mass m = 450 g. Haraldinho gives the soccer ball a force impact with magnitude 13.5 Ns in a direction a = 20° above the horizontal. a) Show that the ball has an exit velocity of 30 m/s when it leaves the foot. b) Assuming the goalkeeper has negligible effect, does the ball hit inside the goal? Justify your answer calculations.

In a penalty kick in football, the ball is kicked from the penalty area. The target has the dimensions 7.3 m wide, and 2.44 m high. Here we only look at kicks in the x- and y-direction and ignore movement in the z-direction (relative to the coordinate system in Figure 2). We also ignore air resistance. The ball has a mass m = 450 g. Haraldinho gives the soccer ball a force impact with magnitude 13.5 Ns in a direction a = 20° above the horizontal. a) Show that the ball has an exit velocity of 30 m/s when it leaves the foot. b) Assuming the goalkeeper has negligible effect, does the ball hit inside the goal? Justify your answer calculations.