Maximum Height Formula:
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The Maximum Height of a projectile on a horizontal plane is the highest vertical position reached during its motion. It is a key parameter in projectile motion analysis, representing the peak altitude achieved before descending.
The calculator uses the Maximum Height formula:
Where:
Explanation: The formula calculates the maximum height by multiplying the average vertical velocity by the time interval during which the projectile reaches its peak height.
Details: Calculating maximum height is essential for understanding projectile trajectories, optimizing launch parameters in sports and engineering applications, and analyzing motion in physics problems.
Tips: Enter average vertical velocity in m/s and time interval in seconds. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What is average vertical velocity?
A: Average vertical velocity is the mean of the initial and final vertical velocities during the time interval when the projectile reaches maximum height.
Q2: How is time interval determined?
A: Time interval is the duration from launch until the projectile reaches its maximum height, which can be calculated from initial velocity and launch angle.
Q3: Does this formula work for all projectiles?
A: This formula works for projectiles on horizontal planes under constant gravity, neglecting air resistance and other external forces.
Q4: What are typical maximum height values?
A: Maximum height values vary widely depending on initial velocity and launch angle, ranging from centimeters to kilometers in different applications.
Q5: How does launch angle affect maximum height?
A: For a given initial speed, maximum height increases as launch angle approaches 90° (vertical launch), reaching its highest value at exactly 90°.