Football Projectile Motion Homework: Solving for Angle and Formula

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SUMMARY

The discussion focuses on solving for the angle of a football kicked with an initial vertical velocity of 40 m/s and a horizontal velocity of 50 m/s. To determine the angle, users are advised to apply elementary trigonometry, specifically using the tangent function. The head-to-tail method is recommended for graphically adding the two velocity vectors. The angle can be calculated using the formula: angle = arctan(vertical component / horizontal component).

PREREQUISITES
  • Understanding of vector addition and the head-to-tail method
  • Basic knowledge of trigonometric functions, particularly tangent
  • Familiarity with projectile motion concepts
  • Ability to graph vectors accurately
NEXT STEPS
  • Study the application of the tangent function in trigonometry
  • Learn about vector addition techniques in physics
  • Explore projectile motion equations and their derivations
  • Practice graphing vectors and calculating angles using real-world examples
USEFUL FOR

Students studying physics, particularly those focusing on projectile motion, as well as educators looking for effective methods to teach vector addition and trigonometry.

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Homework Statement


a football is kicked at a certain angle above the horizontal. the vertical component of its initial velocity is 40 m/s and the horizontal component is 50 m/s.

Homework Equations


what is the angle in the problem? what kind of formula can i use?
 
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You are given 2 vectors. Graph them. Add them (head-to-tail method). Use elementary trigonometry to find angle.
 

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