Key equation with uniform acceleration and projectile motion

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SUMMARY

The discussion focuses on the key equations governing uniform acceleration and projectile motion, specifically emphasizing the separation of horizontal and vertical motion. The horizontal motion maintains constant velocity, while the vertical motion experiences constant acceleration. The optimal launch angle for maximum distance is identified as 45°, while a 90° angle maximizes height and time in the air. Participants highlight the importance of solving simultaneous equations to analyze projectile parameters effectively.

PREREQUISITES
  • Understanding of kinematics and projectile motion principles
  • Familiarity with basic algebra for solving equations
  • Knowledge of gravitational effects on motion
  • Ability to analyze motion in two dimensions
NEXT STEPS
  • Research the equations of motion for uniform acceleration
  • Explore the effects of launch angle on projectile trajectory
  • Learn about the concept of range in projectile motion
  • Study the relationship between initial velocity and maximum height
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding the principles of projectile motion and its applications.

Liszzy
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<< Mentor Note -- thread moved from the New Member Introduction forum because of the general nature of the question >>

Hi guys, I'm Liszzy newly join physics group. How are you everyone? I'm doing my Canadian diploma in physics and need help from you guys. I've doubt in Kinematic chapter especially the key equation with uniform acceleration and projectile motion. Kindly please send me if there is any link or notes about kinematic topic for better understanding :) Thank you and have a wonderful day
 
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Hi Liszzy, Which equation and what is your doubt? The key to understanding simple projectile motion is to treat the motion in the horizontal and vertical separately. The horizontal part is at constant velocity. The vertical part is at constant acceleration. Write two equations, one for each and then solve the simultaneous equations to find whichever parameter you need.
 
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Thanks for the explanation mate :) If you increase/decrease the variable what effect you think it will have on the motion of the projectile. Will the projectile go farther? Higher? Stay in the air longer? Is there an optimum value to make the projectile go as far as possible?
 
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Which variable?
 
Liszzy said:
Thanks for the explanation mate :) If you increase/decrease the variable what effect you think it will have on the motion of the projectile. Will the projectile go farther? Higher? Stay in the air longer? Is there an optimum value to make the projectile go as far as possible?
There is, the angle of the shot. You can guess it's correct value, but better would be to prove it the way suggested.
 
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Liszzy said:
Thanks for the explanation mate :) If you increase/decrease the variable what effect you think it will have on the motion of the projectile. Will the projectile go farther? Higher? Stay in the air longer? Is there an optimum value to make the projectile go as far as possible?
For a static planar non-sloped surface model with constant perpendicular gravity, and assuming less than escape velocity, launched projectiles, e.g. bolts shot from a crossbow, at 45° will travel the maximum distance, and at 90° (i.e. straight up) will go highest and stay in the air longest.
 
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