Ball Kicked at Certain angle, how long it goes and takes to touch the ground

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SUMMARY

The discussion focuses on calculating the trajectory of a soccer ball kicked at a 64° angle with an initial speed of 18 m/s, neglecting air resistance. Key calculations involve determining the time the ball remains airborne, the horizontal distance traveled, and the maximum height reached. To solve these problems, one must first calculate the initial horizontal and vertical velocities using projectile motion equations. The recommended resource for further understanding is the Wikipedia page on "projectile motion."

PREREQUISITES
  • Understanding of projectile motion principles
  • Ability to calculate initial velocity components
  • Familiarity with kinematic equations
  • Basic algebra skills for solving equations
NEXT STEPS
  • Review the kinematic equations for projectile motion
  • Learn how to decompose velocity into horizontal and vertical components
  • Explore the effects of air resistance on projectile motion
  • Practice solving similar problems involving different angles and speeds
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of projectile motion in sports contexts.

Paul36
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Homework Statement


A soccer ball is kicked at an angle of 64° to the horizontal with an initial speed of 18 m/s. Assume for the moment that we can neglect air resistance.

Homework Equations


For how much time is the ball in the air?... Seconds
(b) How far does it go (horizontal distance along the field)?... Metres
(c) How high does it go?... Metres

The Attempt at a Solution


I don't know what formulas to use or how to go about this question. Some help please.
Thank you.
 
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Begin by finding the initial horizontal and vertical velocities.
 

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