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Peak Height Equation:
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The peak height calculation determines the maximum vertical displacement achieved by an object projected upwards under the influence of gravity. This calculation is fundamental in physics for analyzing projectile motion.
The calculator uses the peak height equation:
Where:
Explanation: The equation is derived from energy conservation principles, where kinetic energy at launch converts to potential energy at peak height.
Details: Calculating peak height is essential for various applications including sports science, engineering projects, ballistic calculations, and educational demonstrations of physics principles.
Tips: Enter initial velocity in m/s and gravitational acceleration in m/s². Standard Earth gravity is 9.8 m/s². All values must be positive numbers.
Q1: Does this equation account for air resistance?
A: No, this is the ideal equation that assumes no air resistance. In real-world applications with significant air resistance, actual peak height will be lower.
Q2: Can this be used for any projectile?
A: Yes, this equation applies to any object projected vertically upwards, regardless of mass, as mass cancels out in the energy conservation derivation.
Q3: What if the projection is not vertical?
A: This specific equation only applies to vertical projections. For angled projections, only the vertical component of velocity should be used.
Q4: How does gravitational acceleration vary?
A: Gravitational acceleration is approximately 9.8 m/s² on Earth but varies slightly with location and altitude. Other planets have different gravitational values.
Q5: What are typical velocity values for common objects?
A: Human throw velocities range from 5-15 m/s, while professional athletes can achieve higher velocities. Mechanical devices can produce much higher velocities.