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Horizontal Range Of Projectile Calculator

Horizontal Range Formula:

\[ H = \frac{v^2 \cdot \sin(2\alpha)}{g} \]

m/s
degrees

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1. What is the Horizontal Range of Projectile?

The horizontal range of a projectile is the total horizontal distance traveled by the projectile from its launch point to the point where it hits the ground. It is a fundamental concept in projectile motion physics.

2. How Does the Calculator Work?

The calculator uses the horizontal range formula:

\[ H = \frac{v^2 \cdot \sin(2\alpha)}{g} \]

Where:

Explanation: The formula calculates the maximum horizontal distance a projectile can travel based on its initial velocity and launch angle, assuming no air resistance and a level surface.

3. Importance of Horizontal Range Calculation

Details: Calculating horizontal range is essential in various fields including sports, military applications, engineering, and physics education. It helps predict the trajectory and landing point of projectiles.

4. Using the Calculator

Tips: Enter initial velocity in m/s and angle of projection in degrees (0-90). All values must be valid (velocity > 0, angle between 0-90 degrees).

5. Frequently Asked Questions (FAQ)

Q1: What is the maximum range angle?
A: The maximum horizontal range is achieved at a 45-degree launch angle when air resistance is neglected.

Q2: Does air resistance affect the calculation?
A: Yes, this formula assumes no air resistance. In real-world scenarios, air resistance reduces the actual range.

Q3: What units should be used?
A: Velocity in meters per second (m/s), angle in degrees, and the result is in meters (m).

Q4: Does this work for all projectile types?
A: This formula works for ideal projectiles where the launch and landing heights are equal and air resistance is negligible.

Q5: How does gravity affect the range?
A: Higher gravitational acceleration reduces the horizontal range, while lower gravity increases it.

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