`v_"0y" = v_0 * sin( theta )`

Enter a value for all fields

The Ballistic Initial Vertical Velocity Component calculator computes the initial vertical velocity (up) of an object in ballistic flight based on the initial velocity (e.g., muzzle velocity) and the launch angle.

INSTRUCTIONS: Choose units and enter the following:

• (θ) Launch Angle
• (v₀) Initial Velocity

Ballistic Initial Vertical Velocity Component (V_0y): The velocity is returned in meters per second.  However, these can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The Ballistic Initial Vertical Velocity Component equation computes the vertical (y) component of initial velocity given the initial velocity vector magnitude and the launch angle.  The formula for the initial vertical component is:

`v_(0y) = v_0 * sin(theta)`

where:

• v_0y - initial vertical velocity component
• v₀ - initial velocity magnitude
• θ - launch angle above the local horizontal