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.
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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.
![↑
Ay = 2.44 m
Ax = 11 m
Figur 2 - Oppgave 4
y
N
x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9c78901-8e2b-4f03-8d2e-c279f41f7f6c%2F05571289-66bf-406c-8d27-e14f19780cb8%2Fl4d3aeh_processed.png&w=3840&q=75)
Transcribed Image Text:↑
Ay = 2.44 m
Ax = 11 m
Figur 2 - Oppgave 4
y
N
x
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