Projectile Motion Question: Football Kicker's Goal Post Dilemma

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SUMMARY

The discussion centers on a projectile motion problem involving a football kicker who kicks a ball with an initial velocity of 20 m/s at a 53-degree angle. The goal post is located 36 meters away and stands 3.05 meters tall. Calculations reveal that the ball crosses the goal post by 0.85 meters, confirming it clears the height requirement. However, the kicker seeks assistance in determining whether the ball is still rising or falling as it approaches the crossbar.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Knowledge of trigonometric functions for angle calculations
  • Ability to perform basic algebraic manipulations
NEXT STEPS
  • Calculate the time of flight using the formula for range in projectile motion
  • Determine the maximum height of the projectile using the initial vertical velocity
  • Analyze the vertical position of the ball at the time it reaches the goal post
  • Explore the concept of trajectory and its implications on projectile motion
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Students studying physics, particularly those focusing on kinematics and projectile motion, as well as educators seeking to enhance their teaching methods in these topics.

Strik3r
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Homework Statement


Well to sum up the question: a football kicker kicks a ball with 20m/s initial velocity with a 53 degree angle. the goal post is 36m away and is 3.05m tall. does the ball pass the goal post? does the ball approach the crossbar while still rising or falling?

range=36m
acceleration= -9.8 m/s/s
V initial = 20m/s
angle theta= 53 degrees
height of post=3.05m

Homework Equations


range= (velocity initial x) multiply (time)
vix (velocity initial x) = vi cos angle theta
viy (velocity initial y) = vi sin angle theta

y=(viy) multiply (time) + 0.5at^2

The Attempt at a Solution



using the above information i found the that the ball crosses the goal post by 0.85meters.

here the problem. i don't know how to do the second part. any and all help will be appreciated thx.
 
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You could find out at what range the maximum height occurs. Is this before or after the goal post?
 

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