# Ballistic Velocity to Achieve Height

vCalc Reviewed
v =
Tags:
Rating
Copied from
ID
vCalc.Ballistic Velocity to Achieve Height
UUID
72958a70-805e-11e8-abb7-bc764e2038f2

The Velocity to Achieve a Ballistic Height calculator computes the initial velocity required to achieve a maximum vertical altitude (Mh) above a plane that is reached by an object launched at an angle above the horizon (θ) assuming a constant downward acceleration (g).

INSTRUCTIONS:  Choose units and enter the following:

Velocity (V):  The calculator returns the velocity in meters per second.  However this can be automatically converted to compatible units via the pull-down menu.

#### 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. When you solve for the initial velocity, the formula for Velocity to achieve a Max Ballistic Height  is:

V = sqrt( (M-h)*2g)/(sin theta)

where:

# 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.