SUMMARY
The maximum range of a ballista arrow fired at an initial velocity of 325 m/s is calculated using the formula Rmax = (Vo^2)/g, resulting in an unrealistic range of 10,778 meters. The correct range equation is R = (Vo^2/g) * sin(2Ɵ), where firing at an angle of 45 degrees maximizes range. However, this calculation fails to account for air resistance, which is significant at supersonic speeds. Therefore, the assumptions made in the calculations are flawed due to the neglect of realistic factors such as air resistance and the extreme initial velocity.
PREREQUISITES
- Understanding of projectile motion and kinematic equations
- Familiarity with the concept of air resistance and its impact on motion
- Knowledge of basic trigonometry, particularly sine functions
- Ability to perform calculations involving initial velocity and gravitational acceleration
NEXT STEPS
- Research the effects of air resistance on projectile motion
- Learn about the physics of supersonic projectiles
- Explore advanced projectile motion equations that include drag coefficients
- Investigate real-world applications of ballista mechanics and historical accuracy
USEFUL FOR
Students studying physics, engineers interested in projectile design, and anyone analyzing the dynamics of high-velocity projectiles.