1. What is a Maximum Vertical Distance Calculator?

Definition: This calculator determines the maximum height reached by a projectile launched at a given angle with a specific initial velocity.

Purpose: It's useful for physics students, engineers, and anyone working with projectile motion calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( h_{max} \) — Maximum height (meters)
• \( v_0 \) — Initial velocity (meters/second)
• \( \theta \) — Launch angle (degrees)
• \( g \) — Gravitational acceleration (9.81 m/s² on Earth)

Explanation: The maximum height depends on the vertical component of the initial velocity (v₀·sinθ) and gravity's effect on decelerating the projectile.

3. Importance of Maximum Height Calculation

Details: Knowing the maximum height is crucial for ballistics, sports science, engineering projects, and safety calculations.

4. Using the Calculator

Tips: Enter the initial velocity in m/s, launch angle (0-90°), and gravitational acceleration (default 9.81 m/s²). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What angle gives the maximum height for a given velocity?
A: 90 degrees (straight up) gives the maximum height since all the velocity is directed vertically.

Q2: Does air resistance affect the calculation?
A: This calculator assumes no air resistance. Real-world results may be lower due to air drag.

Q3: What's the maximum height when launched horizontally (0°)?
A: Zero meters, since there's no vertical component to the initial velocity.

Q4: How does gravity affect the result?
A: Higher gravity results in lower maximum height as it decelerates the projectile faster.

Q5: Can I use this for other planets?
A: Yes, just change the gravitational acceleration to match the celestial body (e.g., 1.62 m/s² for the Moon).