Enter the initial velocity and the angle of launch of an object in projectile motion (assuming no air resistance) to calculate the maximum height of the projectile.

## Maximum Projectile Height Formula

The following formula describes the maximum height of an object in projectile motion. As noted before, this is without air resistance.

h = V₀² * sin(α)² / (2 * g)

- Where his the maximum height
- V is the initial velocity
- α is the launch angle

Projectile motion is the act of an object moving in a two dimensional plane with the x axis representing the surface of the earth. In projectile motion, there is both vertical and horizontal motion. However, only vertical motion effects the maximum height. Therefore as is shown in the equation above, the vertical velocity is calculated using the sin of the angle of launch and the overall velocity.

How to calculate maximum projectile height

**First, determine the initial velocity.**This is the total velocity of the object.

**Next, determine the angle of launch**This is the angle measured with respect to the x-axis.

**Calculate the maximum height.**Enter the total velocity and angle of launch into the formula h = V₀² * sin(α)² / (2 * g) to calculate the maximum height.

## FAQ

**What is the max height of a projectile?**

The max height of a projectile is the maximum y value an object achieves under projectile motion. This max value is only determined by the y component of velocity and the force of gravity.

## Related Terms

maximum height of a projectile |

maximum height of a projectile calculator |

how to calculate maximum height of a projectile |

height of projectile |

max height of projectile |

maximum height of projectile derivation |

maximum height of projectile formula |

projectile motion maximum height |

how to find maximum height of a projectile |

maximum range of a projectile launched from a height |

how to find maximum height physics |

how to find max height of a projectile |

maximum height in projectile motion |

time to reach maximum height in projectile motion |

how to find the time it takes to reach maximum height of a projectile |

how to find the maximum height of a projectile launched at an angle |

maximum height formula physics |

formula for maximum height of a projectile |

how to find the max height of a projectile |

height in projectile motion |

maximum height physics |

time to reach maximum height |

formula for maximum height in projectile motion |

how to calculate the maximum height of a projectile |

formula of maximum height in projectile motion |

projectile motion maximum height formula |

how to find maximum height of projectile |

maximum height formula in projectile motion |

max height formula projectile motion |

find maximum height of projectile |

maximum horizontal range of projectile |

max height physics |

formula of maximum height of projectile |

derivation of maximum height in projectile motion |

angle for maximum height of a projectile |

maximum height projectile motion formula |

formula for max height of projectile |

time taken by projectile to reach maximum height |

formula for maximum height in projectile |

expression for maximum height of projectile |

finding maximum height of a projectile |

height of projectile motion |

maximum height in projectile motion formula |

formula of max height in projectile |

formula of maximum height in projectile |

find the angle of projection of a projectile for maximum height |

max range of projectile formula |

how to calculate maximum height physics |

maximum height of the projectile |

calculate max height of projectile |

finding max height in projectile motion |

time of maximum height projectile motion |

time to reach maximum height calculator |

maximum height reached by projectile |

maximum height calculator physics |

find the maximum height of the projectile |

equation for maximum height of a projectile |

time taken to reach maximum height projectile |

maximum height of a projectile derivation |

height of the projectile |

how to find maximum height with initial velocity |

equation to find maximum height |

formula for hmax in projectile motion |

highest point in projectile motion |

velocity at maximum height of projectile |

calculate maximum height reached by an object |

physics how to find maximum height |

derivation of max height of projectile |

hmax in projectile |

how to calculate maximum height in projectile motion |

how to find time of maximum height of a projectile |

maximum height of projectile calculator |

maximum height of a projectile launched at an angle |