Football Projectile Motion Homework: Solving for Angle and Formula

In summary, "Football Projectile Motion" is the study of the motion of a football through the air, incorporating principles of physics such as projectile motion, air resistance, and gravity. Factors that affect the trajectory of a football include the force and angle of the kick, air resistance, wind speed and direction, gravitational pull, and the shape and texture of the football. The optimal angle for maximum distance is approximately 45 degrees, but the force and velocity of the kick also play a role. The rotation or spin of a football can also impact its flight, with a spiral spin reducing air resistance and the Magnus effect causing it to curve in a certain direction.
  • #1
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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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  • #2
You are given 2 vectors. Graph them. Add them (head-to-tail method). Use elementary trigonometry to find angle.
 

FAQ: Football Projectile Motion Homework: Solving for Angle and Formula

What is "Football Projectile Motion"?

"Football Projectile Motion" refers to the mathematical and scientific study of the motion of a football as it is kicked and moves through the air. It involves principles of physics such as projectile motion, air resistance, and gravity.

What factors affect the trajectory of a football?

The trajectory of a football is affected by several factors, including the force and angle of the kick, air resistance, wind speed and direction, and the gravitational pull of the Earth. The shape and texture of the football also play a role in its trajectory.

How does air resistance affect the flight of a football?

Air resistance, also known as drag, slows down the forward motion of a football, causing it to drop faster than it would in a vacuum. This is because the air molecules exert a force on the football in the opposite direction of its motion. The size, shape, and surface texture of the football all affect the amount of air resistance it experiences.

What is the optimal angle for kicking a football for maximum distance?

The optimal angle for kicking a football for maximum distance is approximately 45 degrees. This angle allows for the football to travel the farthest distance while still maintaining enough height to clear any obstacles. However, the force and velocity of the kick also play a significant role in the distance the football will travel.

How does the rotation of a football affect its flight?

The rotation of a football, or its spin, can affect its flight in several ways. A football with a spiral spin will experience less air resistance, allowing it to travel farther. Additionally, the spin can cause the football to curve in a certain direction, known as the Magnus effect. This is commonly seen in footballs thrown by quarterbacks to create a more accurate and unpredictable trajectory.

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