Deriving Velocity For Projectiles

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To determine the required muzzle velocity for a projectile launched at a 30-degree angle to hit a target 100 meters away, basic projectile motion equations can be applied. Without air resistance, the initial velocity can be calculated using the formula for range, which incorporates the angle of launch and gravitational acceleration. When factoring in air resistance, specifically for a droplet shape, the calculations become more complex, requiring drag coefficient considerations. The discussion emphasizes the need for understanding both the physics principles and the mathematical formulas involved. Accurate calculations are essential for achieving the desired projectile motion in both scenarios.
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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