PHYIC CALCULATOR
Projectile Max Height Calculator
A precise tool.
What is the Projectile Max Height Calculator & How does it work?
A projectile is an object that is given an initial velocity and then follows a path determined by the laws of motion under the influence of gravity. The maximum height reached by a projectile can be calculated using the formula derived from its trajectory.
H = frac{{v_0^2 sin^2(theta)}}{{2g}}
H = maximum height, v_0 = initial velocity, theta = launch angle, g = acceleration due to gravity (approximately 9.81 m/sΒ² on Earth)
This formula assumes that air resistance is negligible and the projectile is launched from ground level.
Parameters
Result
β
Frequently Asked Questions
How do I calculate the maximum height of a projectile?
Use the formula H = (v_0^2 * sin^2(ΞΈ)) / (2g), where v_0 is initial velocity, ΞΈ is launch angle, and g is gravity.
What does the launch angle affect in projectile motion?
The launch angle affects both the range and maximum height of the projectile. A 90-degree angle maximizes height but minimizes range.
Can I use this calculator for any object?
Yes, as long as the object follows a parabolic path under gravity, like a ball or rocket.
What is the value of g in the formula?
The value of g is approximately 9.81 m/sΒ² on Earth, representing the acceleration due to gravity.
How does air resistance affect the calculation?
Air resistance reduces the maximum height by increasing drag and slowing down the projectile.
Can this calculator be used for horizontal distance calculations too?
No, this specific calculator is for maximum height only. Use a different formula for horizontal distance.
What units should I use for initial velocity and angle?
Use meters per second (m/s) for velocity and degrees or radians for the launch angle.
Results are for informational purposes only and do not constitute professional advice.