What Is the Optimal Kicking Angle for Maximum Distance in Football?

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In summary, the conversation discusses the best angle to kick a ball during kickoffs in order for it to go as far as possible. The given data is that the ball leaves the foot at a speed of 72 km/h, which is converted to 20 m/s. The conversation includes equations for calculating the x- and y-components of the initial velocity and suggests using an unknown variable to represent the angle. The speaker also advises to not plug in any numbers until the final step.
  • #1
Stephen Garner
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Homework Statement


The school football team has asked you for advice. During kickoffs the ball is not going far enough. The team's kicker shows you his kicks, and you figure out that he consistently kicks the ball so that it leaves his foot moving at 72 km/h.

a) Predict the best angle for him to try to kick the ball so that it will go as far as possible. [a: 45 degrees]

Homework Equations


X-component: cosΘ = adj/hyp
Y-Component: sinΘ = opp/hyp

vf2 = vi2/ + 2ad

The Attempt at a Solution


I have converted 72 km/h to m/s.

72 * 1000 = 72000 / 3600 = 20m/s

I am confused because course has not asked us to predict an angle given such little data. Am I suppose to use gravity somewhere in here? I don't know how they arrived at 45 degrees.
 
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  • #2
How long will the ball be in the air? How far in the x-direction does it travel in that time? (Both as functions of the angle)
 
  • #3
How do I figure out X-component if I don't have the angle though?
 
  • #4
Stephen Garner said:
How do I figure out X-component if I don't have the angle though?
You write it as a function of the angle.
 
  • #5
f(x) = 20x?
 
  • #6
Stephen Garner said:
f(x) = 20x?
No. Create an unknown to represent the angle. θ would be a standard choice.
Write the initial velocity components in terms of that.
Style tip: ignore the given speed of 20m/s for now. Just call it v. There are many advantages in not plugging in any numbers until the final step.
 
  • #7
what numbers am I plugging into what? I'm more confused than before. x + y = 180?
 
  • #8
Stephen Garner said:
what numbers am I plugging into what? I'm more confused than before. x + y = 180?
If the kicker kicks the ball at a speed v and an angle θ to the horizontal, what are the vertical amd horizontal components of its initial velocity?
 

1. What is the "Predict best angle problem"?

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