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Maximum Height Of Projectile On Horizontal Plane Given Average Vertical Velocity Calculator

Maximum Height Formula:

\[ h_{max} = v_{ver} \times t_{pr} \]

m/s
s

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1. What is the Maximum Height of Projectile?

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.

2. How Does the Calculator Work?

The calculator uses the Maximum Height formula:

\[ h_{max} = v_{ver} \times t_{pr} \]

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.

3. Importance of Maximum Height Calculation

Details: Calculating maximum height is essential for understanding projectile trajectories, optimizing launch parameters in sports and engineering applications, and analyzing motion in physics problems.

4. Using the Calculator

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.

5. Frequently Asked Questions (FAQ)

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°.

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