Horizontal component of projectile motion

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SUMMARY

The horizontal component of a projectile's motion is treated as constant under the assumption of no air resistance and when the range is small enough to ignore the Earth's curvature, allowing for a flat Earth approximation. This simplification transforms the actual elliptical trajectory into a parabolic one. Understanding this principle is crucial for solving projectile motion problems, particularly when calculating the distance traveled by horizontally launched objects.

PREREQUISITES
  • Understanding of basic physics concepts, specifically projectile motion
  • Knowledge of the effects of air resistance on motion
  • Familiarity with the concept of Earth's curvature in physics
  • Ability to apply kinematic equations for horizontal motion
NEXT STEPS
  • Study the principles of projectile motion in detail, focusing on horizontal and vertical components
  • Learn about the effects of air resistance on projectile trajectories
  • Explore the mathematical derivation of projectile motion equations
  • Investigate real-world applications of projectile motion in sports and engineering
USEFUL FOR

Students studying physics, educators teaching projectile motion concepts, and anyone interested in understanding the dynamics of objects in motion without air resistance.

BogMonkey
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Unless there wind resistance do you always treat the horizontal velocity of a projectile as constant?
 
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In addition to no air resistance, the other assumption is that the range is small enough so you can ignore the curvature of the earth, and make a flat Earth approximation. That's what takes a trajectory that's really an ellipse and approximates it as a parabola. Then the horizontal component of velocity will be constant.
 
Thanks. I got a question on a test a while ago where I knew the velocity a ball was thrown horizontally off a roof and knew how far the ball went before it landed but I couldn't do the question because I was convinced horizontal velocity wasn't constant. Ah well now I know.
 

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