Maximum Projectile Height Calculator

Calculate the approximate maximum height that a projectile should reach based on a couple of factors.

Required Information

Maximum Height:

What it is

What is Maximum Projectile Height?

Create Date: October 16, 2024

Last Modified Date: November 15, 2024

Maximum projectile height refers to the highest point that a projectile will reach based on its conditions. It is highly influenced by its current height/altitude.

How do you Calculate Maximum Projectile Height?

Maximum projectile height can be calculated with a few variables. The variables required are:

  • Velocity

  • Launch angle

  • Initial height

With these values, they can now be plugged into this formula:
An image showing the formula for finding the maximum projectile height of an object.
Where:
  • MH = Maximum Height

  • IH = Initial Height (in meters)

  • VV = Vertical Velocity (in meters per second)

Understanding Your Results

The results shown from this tool is a single value, the max height that a projectile with your specified values will be able to reach. This number will be the total height, not the height above the initial launch height. So if your launching from 50 feet high and your result is 150 feet, the projectile reached a total height of 150 feet not 200.

How to Use the Maximum Projectile Height Tool

Calculating the maximum height a projectile can reach can be a hassle. We make it as easy as possible with our free and easy-to-use tool. The steps required with our tool are:

  1. Enter the velocity that the projectile will have. Change the unit of measurement from feet per second if it is not the best unit for your situation.

  2. Enter the launch angle of the projectile, once again choosing the best unit for your situation if degrees is not it.

  3. Enter the initial height where the projectile is being launched from. Alternatively, you can enter 0 if you just want to see how high the projectile should reach above its launch spot.

  4. Hit calculate and get your result in less than a second!

Example Calculation

Let's say we are in archery class. We want to see how high an arrow will go based on our situation. We are using a bow that can launch an arrow at 200 miles per hour, we are going to be releasing the arrow at a 20-degree angle and our initial height is zero. To begin, we can enter 200 in the velocity field and change the unit to be miles per hour, we enter 20 in the launch angle field and set the initial height to zero.

We are now ready to hit calculate and get our answer. When we do we see that the maximum height of the arrow should be about 156.37 feet. If feet are not the best unit of measurement we can change it to another unit easily and have the result automatically converted to that.

Maximum Projectile Height - Frequently Asked Questions

The maximum height of a projectile can be calculated using the initial velocity, launch angle, and initial height. The formula involves trigonometric functions to determine the vertical component of the velocity.

In an ideal scenario, air resistance is ignored in projectile motion calculations. However, in reality, air resistance will reduce the maximum height that a projectile can reach.

A steeper launch angle means that more of the initial velocity is directed upwards, resulting in a greater maximum height. However, beyond 90 degrees, the height will decrease.

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