Find the Origin of the Kicked Soccer Ball

In summary, the problem involves a soccer ball being kicked at 25 m/s at an angle of 22 degrees and hitting the crossbar 2.5 m off the ground. The solution involves resolving the velocity vector into components, with the crossbar serving as the positive displacement in the y-direction. The quadratic formula is used to solve for time, which is then used to calculate the distance traveled in the x-direction. The initial position of the kick can then be determined using the calculated distance.
  • #1
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Homework Statement



A soccer ball is kicked at 25 m/s at an angle of 22 degrees . The ball hits the crossbar 2.5 m off the ground. Where was it kicked from?

Homework Equations



d = ViT + .5* a * T^2

The Attempt at a Solution



I have no clue
 
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  • #2
Resolve the velocity vector into components and work backwards from 2.5m in the y-direction.
 
  • #3
So the soccer ball hits the crossbar (assuming it hits at 2.5 meters high). What does that mean? Do what fss said and break the motion into components, x and y. 2.5 is the positive y displacement. So we have 2.5 = vy (t) + 1/2a(t^2). So what is vy? and what is a? If you have a question about that, add a reply. So you should solve for t, using the quadratic formula. Then, in the x direction, you have distance (in the x-direction of course) = vx (t). So once you get t, you can plug in so you find the distance it traveled in the x-direction.
 

Related to Find the Origin of the Kicked Soccer Ball

1. What is the purpose of finding the origin of the kicked soccer ball?

The purpose of finding the origin of the kicked soccer ball is to determine where the ball was initially kicked, and potentially gather information about the player who kicked it. This can be useful in understanding the trajectory of the ball and predicting its future path.

2. How do you find the origin of the kicked soccer ball?

To find the origin of the kicked soccer ball, researchers use a combination of video analysis, mathematical calculations, and physical experiments. They analyze the trajectory of the ball and use various equations to determine its initial velocity and direction, which can help pinpoint the origin of the kick.

3. Can the origin of the kicked soccer ball be affected by external factors?

Yes, the origin of the kicked soccer ball can be affected by external factors such as wind, air resistance, and the surface the ball is kicked on. These factors can alter the trajectory of the ball, making it more difficult to accurately determine the origin of the kick.

4. Is it possible to find the origin of the kicked soccer ball in real-time?

Yes, with advanced technology and equipment, it is possible to find the origin of the kicked soccer ball in real-time. This can be useful for referees in making accurate calls during a game or for coaches to analyze their team's performance.

5. What are the limitations of finding the origin of the kicked soccer ball?

There are several limitations when it comes to finding the origin of the kicked soccer ball. These include external factors that can affect the trajectory of the ball, the accuracy of the equipment used, and the skill level of the player kicking the ball. Additionally, it may be difficult to accurately determine the origin of the kick in a crowded or dynamic playing field.

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