Parameters

Results

Max Height 0.00 meters
Total Range 0.00 meters
Flight Time 0.00 seconds
Time to Peak 0.00 seconds
v-axis: height | h-axis: range

Understanding Maximum Height in Projectile Motion

Welcome to the most advanced Maximum Height Calculator. Whether you are a physics student solving kinematics equations or an engineer analyzing ballistics, this tool provides instant, accurate results.

The Projectile Motion Formulas

To calculate the maximum height ($h_{max}$) of an object, we consider the vertical component of the initial velocity ($v_{0y}$) and the acceleration due to gravity ($g$).

h_max = h₀ + (v₀² * sin²(θ)) / (2 * g)

Where:

  • v₀ = Initial Velocity
  • θ = Launch Angle
  • g = Acceleration due to gravity (approx 9.81 m/s² on Earth)
  • h₀ = Initial Height from ground

How to use this Calculator

1. Enter the initial velocity of your object (in m/s).

2. Set the launch angle. Note that 90° yields the highest vertical peak, while 45° typically yields the longest range on flat ground.

3. If launching from a platform or cliff, adjust the Initial Height.

4. The calculator automatically computes the trajectory curve, total flight time, and range.

Last updated: December 4, 2025
95 people find this calculator helpful
Junaid Ahmed
Creator
A high school teacher with ten years of experience and a lifelong love for physics. Holds a Bachelor of Engineering in computer science and enjoys making scientific ideas simple, clear, and engaging. Quiet by nature, but fully expressive when exploring motion, energy, and the wonders of the physical world. See full profile
Zaheer Ahmed
Reviewer
A civil engineer with a strong love for numbers, teaching, and building practical digital tools. With a Bachelor's in Civil Engineering, a postgraduate degree in Project Management, and 12 years of teaching experience, he blends technical expertise with creativity. His passion for math and web development drives him to create clear, useful calculators that simplify everyday problem-solving. See full profile

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