Ballistic Max Height

vCalc Reviewed
Equation / Last modified by KurtHeckman on 2018/07/30 18:23
Rating
ID
vCalc.Ballistic Max Height
UUID
e6ccdb9e-da27-11e2-8e97-bc764e04d25f

The Maximum Ballistic Height calculator compute maximum vertical altitude (Mh) above a plane that is reached by an object launched at an angle above the horizon (θ) at an initial velocity (V) assuming a constant downward acceleration (g).ballistics.png

INSTRUCTIONS:  Choose units and enter the following:

Max Altitude (Mh):  The calculator returns the maximum height achieved in meters.  However this can be automatically converted to other length units via the pull-down menu.

Ballistic Flight Equations and Calculators:

The Math / Science

The Max Ballistic Height equation is used to compute the maximum height (h) of an object in trajectory motion above a plane. The range is based on negative vertical acceleration (g), initial velocity (V) and launch angle (θ). This simplified ballistic equation does not take into account any drag or other forces and this equation assumes the launch point (origin) is on the plane.

The formula for Max Ballistic Height  is:

               h = (V • sin(θ))² / (2•g)

Usage

Note: a default for gravitational acceleration (g) of 9.80665 meters per seconds squared is provided.  This is the approximate SI value at sea level on earth. The user may change the gravitational acceleration constant (g) to accommodate a different body (e.g. moon or a different altitude on the earth, or for other units.