1. What is Projectile Angle?

The projectile angle (θ) is the optimal launch angle needed for a projectile to reach a certain height (h) with a given initial velocity (v) under gravity (g). This calculation is fundamental in physics and engineering applications.

2. How Does the Calculator Work?

The calculator uses the projectile angle formula:

Where:

• \( \theta \) — Projectile angle (degrees)
• \( g \) — Acceleration due to gravity (m/s²)
• \( h \) — Height (meters)
• \( v \) — Velocity (m/s)

Explanation: The equation calculates the angle whose sine equals the ratio of the square root of twice the product of gravity and height to the velocity.

3. Importance of Projectile Angle

Details: Calculating the optimal projectile angle is crucial for ballistics, sports science, engineering applications, and any scenario involving projectile motion.

4. Using the Calculator

Tips: Enter height in meters, velocity in m/s, and gravity in m/s² (default is Earth's gravity 9.81 m/s²). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the maximum angle possible?
A: The maximum angle is 90° (straight upward), but this occurs when v = √(2gh). For v < √(2gh), no solution exists.

Q2: Does this account for air resistance?
A: No, this is the idealized case without air resistance. Real-world calculations may need additional factors.

Q3: What units should I use?
A: Use consistent SI units: meters for height, m/s for velocity, and m/s² for gravity.

Q4: Can this calculate range?
A: This calculates launch angle for a given height. For range calculations, different equations are needed.

Q5: What if I get "NaN" as result?
A: This means the velocity is insufficient to reach the given height (v < √(2gh)). Increase velocity or decrease height.