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`V_x = V_0 * cos( theta )`

Enter a value for all fields

The **Horizontal Velocity **calculator computes the horizontal (x component) velocity based on an initial velocity and a launch angle.

**INSTRUCTIONS**: Choose units and enter the following:

**(V**Magnitude of Initial Velocity_{0})**(Θ)**Launch Angle

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

At the instant of launch, before any friction has slowed the launched projectile, the object has a vertical velocity and a horizontal velocity. This calculator computes the horizontal velocity.

The **Ballistic Velocity (horizontal)** equation calculates an object's velocity in the x direction, the horizontal component of its ballistic trajectory.^{1} This is the equation for the ideal projectile, which means it neglects external forces such as air resistance. Since in the ideal projectile motion model the force of gravity is the only force component affecting the trajectory, and the force of gravity is perpendicular to the x-component of motion, the gravitational acceleration does not affect the ballistic x-velocity. The x-component of velocity remains constant. The formula for the horizontal velocity is:

where:

- v
_{x}is the horizontal velocity - V
_{0}is the initial velocity - θ is the launch angle

- Ballistic Maximum Altitude: This is the maximum altitude achieved in free ballistic flight.
- Ballistic Maximum Range: This is the maximum horizontal range.
- Ballistic Flight Time: This is the time duration of free flight.
- Ballistic Vertical Velocity: This is the vertical velocity at a given time.
- Ballistic Horizontal Velocity: This is horizontal velocity or ground speed.
- Vertical Position in Ballistic Flight: This compute the vertical position (y) at a given time within ballistic flight.
- Horizontal Position in Ballistic Flight: This compute the horizontal position (x) at a given time within ballistic flight.

- ^ Young, Hugh and Freeman, Roger. University Physics With Modern Physics. Addison-Wesley, 2008. 12th Edition, (ISBN-13: 978-0321500625 ISBN-10: 0321500628 ) Pg 81, eq 3.22