Find the Origin of the Kicked Soccer Ball

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SUMMARY

The discussion focuses on calculating the origin point of a soccer ball kicked at a velocity of 25 m/s and an angle of 22 degrees, which hits the crossbar at a height of 2.5 m. Participants emphasize breaking down the motion into x and y components to solve the problem effectively. The key equations used include the displacement formula, d = ViT + 0.5 * a * T^2, and the quadratic formula for determining time (t). By resolving the velocity vector and calculating the time of flight, the horizontal distance from the kick point can be determined.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with vector resolution techniques
  • Knowledge of kinematic equations, specifically d = ViT + 0.5 * a * T^2
  • Ability to apply the quadratic formula in physics problems
NEXT STEPS
  • Practice problems involving projectile motion with varying angles and velocities
  • Learn about the impact of air resistance on projectile trajectories
  • Explore advanced kinematic equations for non-uniform acceleration
  • Study vector decomposition in two-dimensional motion scenarios
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and projectile motion, as well as educators looking for problem-solving strategies in kinematics.

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Homework Statement



A soccer ball is kicked at 25 m/s at an angle of 22 degrees . The ball hits the crossbar 2.5 m off the ground. Where was it kicked from?

Homework Equations



d = ViT + .5* a * T^2

The Attempt at a Solution



I have no clue
 
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Resolve the velocity vector into components and work backwards from 2.5m in the y-direction.
 
So the soccer ball hits the crossbar (assuming it hits at 2.5 meters high). What does that mean? Do what fss said and break the motion into components, x and y. 2.5 is the positive y displacement. So we have 2.5 = vy (t) + 1/2a(t^2). So what is vy? and what is a? If you have a question about that, add a reply. So you should solve for t, using the quadratic formula. Then, in the x direction, you have distance (in the x-direction of course) = vx (t). So once you get t, you can plug in so you find the distance it traveled in the x-direction.
 

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