`y = ( v_0 * sin( theta )) * "t" - 1/2 * g * "t" ^2`

Enter a value for all fields

The Ballistic Height at Time calculator computes the altitude or height of an object in ballistic flight above the launch or firing plane at a specified time based on the initial velocity and launch angle.

INSTRUCTIONS: Choose units and enter the following:

• (v) Initial Velocity
• (angle) Launch Angle
• (t) Time into the Ballistic Flight

Ballistic Height at Time (y): The height at the specified time is returned in meters (m).  However, these can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The Ballistic Height at Time equation computes the vertical displacement for a ballistic projectile subject to only the force of gravity.  

`y = (v * sin(theta)) * t - 1/2 * g  * t^2`

where: 

• y = Height of Object at the specified time
• θ - launch angle
• v - magnitude of initial velocity
• t - time of projectile motion