Max Height and Distance of Projectile: Theory & Simulation

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SUMMARY

The discussion focuses on determining the angle at which a projectile must be fired to achieve equal maximum height and horizontal distance. The equations of motion used are y = yo + Voyt + 1/2gt² for vertical motion and x = Voxt for horizontal motion. Participants emphasize the need for both theoretical calculations and simulation verification. A resource link to a comprehensive guide on projectile motion is provided for further reference.

PREREQUISITES
  • Understanding of basic physics concepts related to projectile motion
  • Familiarity with kinematic equations, specifically y = yo + Voyt + 1/2gt² and x = Voxt
  • Basic knowledge of simulation tools for modeling physical phenomena
  • Ability to interpret graphical data from simulations
NEXT STEPS
  • Research the derivation of projectile motion equations
  • Learn how to implement simulations using tools like Python with libraries such as Matplotlib or Pygame
  • Explore the concept of optimal launch angles in projectile motion
  • Investigate the effects of air resistance on projectile trajectories
USEFUL FOR

Students studying physics, educators teaching projectile motion, and anyone interested in simulating physical phenomena related to projectiles.

Ferdel
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How can i find the angle that a projectile is fired where the maximun height is the same as the traveling distance?
I need to find this first in a theoretical way, then i need to confirm this with a simulation.
And i need to use only this
y=yo+Voyt+1/2gt^2
x=Voxt
 
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:welcome:

How much do you know about projectile motion?
 
The basics.
 
Ferdel said:
The basics.
And the basics don't include being able to calculate the height and range?
 
PeroK said:
And the basics don't include being able to calculate the height and range?
?
 
thanks
 

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