Deriving Velocity For Projectiles

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SUMMARY

The discussion focuses on calculating the required muzzle velocity for a projectile launched at a 30-degree angle to hit a target 100 meters away, considering both air resistance and ideal conditions. The gravitational acceleration is specified as 9.8 m/s². The user seeks to determine the minimum velocity needed to achieve this distance, first without air resistance and then incorporating a droplet shape for resistance. The conversation emphasizes the importance of understanding projectile motion equations and the effects of drag on trajectory.

PREREQUISITES
  • Understanding of projectile motion equations
  • Knowledge of gravitational acceleration (9.8 m/s²)
  • Familiarity with concepts of air resistance and drag coefficients
  • Basic algebra for solving equations
NEXT STEPS
  • Research the equations of motion for projectiles, including the range formula
  • Learn about calculating drag force and its impact on projectile trajectories
  • Explore simulations for projectile motion with air resistance using tools like MATLAB or Python
  • Study the effects of launch angle on projectile distance and velocity
USEFUL FOR

Students in physics, engineers working on projectile design, and anyone interested in the dynamics of motion under gravity and air resistance.

jerromyjon
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I have a projectile that can only launch at 30 degrees and a target exactly 100m away at the same elevation on flat ground with 1g (9.8m/s2 meters per second per second?) What velocity without (then with) air resistance would the "muzzle velocity" need to be? (with a droplet shape for resistance)

I can't even figure out how to get started with a minimum mass and velocity to "just make it".
 
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