Vector problem think i have it but just wanted to check

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SUMMARY

The discussion focuses on calculating the resultant displacement of a football player who runs backward 10 yards, then sideways 15 yards, and finally throws a pass 50 yards downfield. The correct approach involves using the Pythagorean theorem, specifically the equation a² + b² = c². The calculated resultant displacement is confirmed to be 42.7 yards, which accurately reflects the distance from the starting point to the endpoint of the pass.

PREREQUISITES
  • Understanding of the Pythagorean theorem (a² + b² = c²)
  • Basic knowledge of vector displacement
  • Ability to interpret and create diagrams for vector problems
  • Familiarity with coordinate systems in physics
NEXT STEPS
  • Study vector addition and subtraction techniques
  • Learn about projectile motion and its equations
  • Explore real-world applications of the Pythagorean theorem in sports
  • Investigate advanced vector analysis using trigonometry
USEFUL FOR

This discussion is beneficial for physics students, sports analysts, and anyone interested in understanding vector displacement in real-world scenarios, particularly in sports contexts like football.

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Homework Statement



in a game of football, a player takes the ball from the line of scrimmage, runs backward a distance of 10 yards, and then runs sideways parallel to the line of scrimmage for 15 yards. at this point, he throws a forward pass 50 yards straight downfield perpendicular to the line of scrimmage. what is the magnitude of the football's resultant displacement?

Homework Equations



a2+n2= c2

The Attempt at a Solution



I drew a diagram and got 402+152 and did that out to get the answer as 42.7 yards. did i do this right?
 
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Yes, assuming the question means displacement fro the football's starting point.
 
42.7 yards is correct.
 

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