SUMMARY
A rocket accelerates upward from rest at 32.2 m/s² for 5.84 seconds before running out of fuel. The final velocity at the end of this period can be calculated using the formula v = a * t, resulting in a velocity of 188.488 m/s. After fuel depletion, the rocket continues to ascend until it reaches its peak height, which can be determined using the equation h = v² / (2g), where g is the acceleration due to gravity (9.81 m/s²). The total height reached by the rocket above the ground is approximately 188.488 m.
PREREQUISITES
- Understanding of kinematic equations
- Basic knowledge of physics concepts such as acceleration and gravity
- Familiarity with calculating velocity and height in projectile motion
- Ability to manipulate algebraic equations
NEXT STEPS
- Learn how to apply kinematic equations in different motion scenarios
- Study the effects of gravity on projectile motion
- Explore advanced topics in dynamics, such as thrust and drag
- Practice solving real-world problems involving motion under constant acceleration
USEFUL FOR
Students studying physics, educators teaching kinematics, and anyone interested in understanding the principles of motion and acceleration in rockets.