Find the Length of a Pass of a Soccer Ball

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SUMMARY

The length of a soccer pass can be calculated using the distance formula for points on the xy-plane. The player passes the ball from the coordinates (18, 12) to the coordinates (42, 50). By applying the distance formula, which is d = √((x2 - x1)² + (y2 - y1)²), the setup for calculating the pass length is confirmed to be correct. The next step involves performing the mathematical calculations to determine the exact distance.

PREREQUISITES
  • Understanding of the distance formula in coordinate geometry
  • Familiarity with Cartesian coordinates
  • Basic algebra skills for performing calculations
  • Knowledge of the context of soccer field dimensions
NEXT STEPS
  • Calculate the length of the pass using the distance formula: d = √((x2 - x1)² + (y2 - y1)²)
  • Explore applications of the distance formula in real-world scenarios
  • Investigate how angles and trajectories affect soccer passes
  • Learn about coordinate systems and their applications in sports analytics
USEFUL FOR

Students studying geometry, soccer coaches analyzing passing strategies, and anyone interested in applying mathematical concepts to sports scenarios.

nycmathguy
Homework Statement
Find length of pass.
Relevant Equations
Distance formula for points.
A soccer player passes the ball from a pointthat is 18 yards from the endline and 12 yards from the sideline. A teammate who is 42 yards from the same endline and 50 yards from the same sideline receives the pass. How long is the pass?

I am suppose to use the distance formula for points. I will set it but, before finding the length of the pass, I want to know if my set up is correct.

Let d = distance between two points on the xy-plane.

Our points in the form (x, y) are:

(18, 12), (42, 50)

See attachment.
 

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Looks good to me.
 
nycmathguy said:
Homework Statement:: Find length of pass.
Relevant Equations:: Distance formula for points.

A soccer player passes the ball from a pointthat is 18 yards from the endline and 12 yards from the sideline. A teammate who is 42 yards from the same endline and 50 yards from the same sideline receives the pass. How long is the pass?

I am suppose to use the distance formula for points. I will set it but, before finding the length of the pass, I want to know if my set up is correct.

Let d = distance between two points on the xy-plane.

Our points in the form (x, y) are:

(18, 12), (42, 50)

See attachment.
Doc Al said:
Looks good to me.
Thanks. I will work out the math on paper.
 
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