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Projectile Distance Calculator

Projectile Distance Equation:

\[ x = v \cos \theta \times t \]

m/s
degrees
s

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1. What is Projectile Distance?

The horizontal distance traveled by a projectile is determined by its initial velocity, launch angle, and time in flight. This calculation is fundamental in physics and engineering applications.

2. How Does the Calculator Work?

The calculator uses the projectile distance equation:

\[ x = v \cos \theta \times t \]

Where:

Explanation: The horizontal component of velocity (\( v \cos \theta \)) remains constant (ignoring air resistance) and when multiplied by time gives the horizontal distance.

3. Importance of Projectile Calculations

Details: Projectile motion calculations are essential in fields ranging from sports science to military applications, helping predict where launched objects will land.

4. Using the Calculator

Tips: Enter velocity in m/s, launch angle in degrees (0-90), and time in seconds. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Does this account for air resistance?
A: No, this is the simplified equation that assumes no air resistance. Real-world calculations may need additional factors.

Q2: What's the optimal angle for maximum distance?
A: Without air resistance, 45° gives maximum horizontal distance. With air resistance, it's typically less.

Q3: Can this be used for vertical distance?
A: No, this calculates only horizontal distance. Vertical motion uses a different equation accounting for gravity.

Q4: What units should I use?
A: The calculator expects meters for distance, meters/second for velocity, degrees for angle, and seconds for time.

Q5: How accurate is this calculation?
A: Perfectly accurate in vacuum conditions. In real-world with air resistance, it gives a theoretical maximum distance.

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