Horizontal Range Formula:
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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.
The calculator uses the horizontal range formula:
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.
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.
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).
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.