SUMMARY
The maximum altitude of a rocket launched vertically can be determined using the kinematic equation v² = u² + 2as, where v is the final velocity (0 m/s at peak altitude), u is the initial velocity, a is the acceleration due to gravity (-9.8 m/s²), and s is the maximum height. Given that the missile has a maximum horizontal range of 160 km, the initial velocity must be calculated using the formula for maximum range under gravity. This approach allows for the determination of the maximum altitude achievable when launched vertically.
PREREQUISITES
- Understanding of kinematic equations
- Knowledge of projectile motion principles
- Familiarity with gravitational acceleration (9.8 m/s²)
- Ability to calculate initial velocity from range
NEXT STEPS
- Calculate the initial velocity required for a projectile to achieve a horizontal range of 160 km
- Learn about the relationship between horizontal range and vertical launch height
- Study the effects of air resistance on projectile motion
- Explore advanced kinematic equations for varying launch angles
USEFUL FOR
Students studying physics, engineers involved in aerospace design, and anyone interested in the dynamics of projectile motion and rocket launches.